And the veteran manager can take great credit for making a double substitution at half-time, and shortly afterwards gambling on the fitness of Pavlyuchenko when Vedran Corluka was forced off through injury.
Fulham, who had been much the better side in the first half, will have to wait a little longer for their first trip to the famous London venue since they lost to West Ham in the 1975 FA Cup final.
But Cottagers fans can console themselves with the prospect of a Europa League quarter-final against Wolfsburg in what has been a truly memorable season for the club.
Like two boxers sparring, the teams spent the early stages sizing each other up with Danny Murphy and Wilson Palacios exchanging fairly tame long-range shots.
After 10 minutes, Fulham midfielder Simon Davies produced a more venomous strike which brought a diving two-handed save from Heurelho Gomes.
Fulham claimed first blood with a goal from the top drawer. Duff found space in midfield and threaded a perfectly-weighted pass into Zamora's path.
The former Spurs striker met the ball first time and curled his finish into the corner.
Spurs responded well, with Gudjohnsen forcing a good low stop from Mark Schwarzer with a clever back-flick from Peter Crouch's lay-off.
Then the Icelander met Gareth Bale's cross with his chest and teed up Luka Modric, whose left-footed half-volley flashed just wide.
Gudjohnsen was a constant influence and scored his second goal for Spurs
Fulham could have extended their lead on the stroke of half-time. Full-back Stephen Kelly slipped a pass through to Zoltan Gera, who chipped the ball to the far post where a back-peddling Zamora could only plant his header over the bar.
Redknapp shook things up at half-time with Bentley and Tom Huddlestone coming on for Benoit Assou-Ekotto and Niko Kranjcar.
And the impact was almost instantaneous with Bentley's whipped free-kick from the left flank eluding everyone and bouncing into the far corner.
Schwarzer may have been distracted by Corluka, who dived but failed to make contact with the delivery.
Spurs were forced into another change as Corluka limped off with a twisted ankle to be replaced by Pavlyuchenko, who had required a late fitness test on a hamstring injury.
And once again, the change paid rapid dividends. Bentley beat his man down the right and hoisted a cross to the far post where Pavlyuchenko lashed a volley past Schwarzer at the near post.
Spurs were rampant and it was no surprise when the third goal arrived courtesy of a slick passing move.
The ball was worked to Modric, whose through-ball took a slight deflection off a Fulham defender on its way through to Gudjohnsen, who nipped in ahead of Schwarzer and poked home.
Clearly rattled by the shock of conceding three goals in 19 second-half minutes, Fulham failed to mount a significant rally, with their best chance falling to Duff, whose half-volley drew a smart save from Gomes.
90:00+5:04 The referee brings the game to a close.
90:00+4:18 Corner from left by-line taken by Zoltan Gera.
90:00+4:05 Zoltan Gera takes a shot. Michael Dawson gets a block in.
90:00+1:28 The ball is swung over by Damien Duff.
90:00+0:24 Danny Murphy delivers the ball, Peter Crouch manages to make a clearance.
90:00+0:12 Damien Duff sends in a cross, Tom Huddlestone makes a clearance.
89:35 Free kick awarded for an unfair challenge on Zoltan Gera by Wilson Palacios. Paul Konchesky delivers the ball from the free
kick left-footed from left wing, Heurelho Gomes makes a save.
89:10 Luka Modric delivers the ball, clearance made by Brede Hangeland.
88:38 Aaron Hughes crosses the ball, Header from deep inside the area by Stefano Okaka goes over the bar.
83:48 Foul by Eidur Gudjohnsen on Damien Duff, free kick awarded. Free kick crossed right-footed by Danny Murphy, save by Heurelho
83:14 Gareth Bale challenges Damien Duff unfairly and gives away a free kick. Simon Davies crosses the ball in from the free kick,
clearance by Gareth Bale.
Correction - 81:53 Zoltan Gera takes a shot. Heurelho Gomes makes a comfortable save.
81:53 Zoltan Gera takes a shot. Save by Heurelho Gomes.
80:48 Centre by Zoltan Gera, clearance by Sebastien Bassong. Effort from the edge of the area by Damien Duff goes wide of the left-hand
80:40 The ball is crossed by Simon Davies, clearance made by Michael Dawson.
78:20 The ball is swung over by Damien Duff, clearance made by Sebastien Bassong. Shot from outside the penalty box by Paul Konchesky
goes wide right of the goal.
78:07 Paul Konchesky sends in a cross, Michael Dawson manages to make a clearance.
77:26 Free kick awarded for a foul by Aaron Hughes on Peter Crouch. David Bentley restarts play with the free kick.
76:55 Substitution Stefano Okaka comes on in place of Bobby Zamora.
76:44 Centre by Simon Davies, Tom Huddlestone makes a clearance. Paul Konchesky crosses the ball.
76:25 Corner taken by Simon Davies from the right by-line to the near post.
Correction - 76:05 Clinton Dempsey takes a shot from 18 yards. Aaron Hughes gets a block in.
76:05 Clinton Dempsey has an effort at goal from just inside the box that misses to the right of the target.
71:14 Corner from left by-line taken by Damien Duff.
70:52 Damien Duff takes a shot. Save made by Heurelho Gomes.
70:03 The referee penalises Peter Crouch for handball. Mark Schwarzer takes the free kick.
68:55 Substitution Clinton Dempsey on for Stephen Kelly.
68:39 Peter Crouch produces a right-footed shot from just outside the box that misses to the right of the goal.
68:02 The ball is delivered by David Bentley, clearance made by Aaron Hughes.
67:41 Inswinging corner taken from the left by-line by David Bentley.
67:20 Inswinging corner taken right-footed by David Bentley played to the near post, clearance by Simon Davies.
Correction - 67:06 Roman Pavlyuchenko takes a shot. Blocked by Aaron Hughes.
67:06 Roman Pavlyuchenko takes a shot. Blocked by Brede Hangeland.
65:43 Assist by Luka Modric.
65:43 GOAL - Eidur Gudjohnsen:Tottenham 3 - 1 Fulham Eidur Gudjohnsen fires in a goal from close range low into the middle of the goal. Tottenham 3-1 Fulham.
63:16 Peter Crouch produces a cross. Shot by Luka Modric. Save by Mark Schwarzer.
62:42 Inswinging corner taken right-footed by David Bentley from the left by-line, Bobby Zamora makes a clearance.
62:31 Roman Pavlyuchenko takes a shot. Mark Schwarzer makes a save.
60:36 Gareth Bale fouled by Bobby Zamora, the ref awards a free kick. Direct free kick taken by Sebastien Bassong.
59:14 David Bentley provided the assist for the goal.
59:14 GOAL - Roman Pavlyuchenko:Tottenham 2 - 1 Fulham Roman Pavlyuchenko finds the back of the net with a goal from close in to the bottom left corner of the goal. Tottenham 2-1
59:12 David Bentley delivers the ball,
58:24 Heurelho Gomes takes the free kick.
58:24 Booking Bobby Zamora goes into the referee's book.
58:21 Booking Sebastien Bassong booked.
57:44 Bobby Zamora challenges Sebastien Bassong unfairly and gives away a free kick.
56:18 Roman Pavlyuchenko has an effort at goal from outside the penalty box which goes wide right of the target.
55:08 David Bentley sends in a cross.
54:38 Danny Murphy concedes a free kick for a foul on Eidur Gudjohnsen. Michael Dawson takes the direct free kick.
53:35 Michael Dawson produces a cross, clearance made by Brede Hangeland.
52:21 Substitution Roman Pavlyuchenko joins the action as a substitute, replacing Vedran Corluka.
51:13 Free kick awarded for a foul by Damien Duff on Luka Modric. Direct strike on goal from the free kick comes in from David Bentley,
save by Mark Schwarzer.
49:30 Zoltan Gera produces a cross, Simon Davies has an effort at goal from 6 yards. Save made by Heurelho Gomes.
48:36 Gareth Bale takes a shot from just outside the penalty area which clears the crossbar.
46:11 GOAL - David Bentley:Tottenham 1 - 1 Fulham David Bentley grabs a goal from long range to the bottom right corner of the goal. Tottenham 1-1 Fulham.
45:53 The free kick is swung in right-footed by David Bentley,
45:53 Booking Stephen Kelly booked.
45:46 Stephen Kelly challenges Gareth Bale unfairly and gives away a free kick.
45:17 Unfair challenge on Aaron Hughes by Peter Crouch results in a free kick. Mark Schwarzer takes the direct free kick.
45:01 The referee blows his whistle to start the second half.
45:01 Substitution Tom Huddlestone joins the action as a substitute, replacing Benoit Assou-Ekotto.
45:01 Substitution David Bentley joins the action as a substitute, replacing Niko Kranjcar.
45:00+1:12 The referee blows for half time.
45:00+0:50 Foul by Bobby Zamora on Benoit Assou-Ekotto, free kick awarded. Heurelho Gomes takes the direct free kick.
44:47 Zoltan Gera produces a cross, Close range headed effort by Bobby Zamora clears the crossbar.
42:49 Damien Duff takes the outswinging corner, Brede Hangeland produces a header from inside the area that goes over the bar.
42:42 Simon Davies crosses the ball, blocked by Michael Dawson.
41:58 Peter Crouch takes a shot. Brede Hangeland gets a block in.
40:42 Centre by Gareth Bale.
40:12 Niko Kranjcar takes a outswinging corner from the right by-line played to the near post, Michael Dawson takes a shot. Blocked
by Bobby Zamora.
39:31 Stephen Kelly gives away a free kick for an unfair challenge on Peter Crouch. Gareth Bale delivers the ball from the free
kick left-footed from left channel, Bobby Zamora manages to make a clearance.
38:51 Effort from outside the box by Danny Murphy goes wide right of the target.
38:05 Unfair challenge on Damien Duff by Benoit Assou-Ekotto results in a free kick. Free kick crossed by Damien Duff, save by Mark
37:15 The ball is swung over by Vedran Corluka, clearance by Brede Hangeland.
35:11 Gareth Bale delivers the ball, Aaron Hughes manages to make a clearance.
35:04 Gareth Bale sends in a cross, Stephen Kelly gets a block in.
34:37 Corner taken left-footed by Gareth Bale to the near post, Simon Davies manages to make a clearance.
32:05 Free kick awarded for a foul by Dickson Etuhu on Niko Kranjcar. Gareth Bale has an effort direct from the free kick.
31:16 Peter Crouch takes a shot. Mark Schwarzer makes a comfortable save.
30:50 The ball is crossed by Bobby Zamora.
29:47 Wilson Palacios gives away a free kick for an unfair challenge on Zoltan Gera. Danny Murphy takes the free kick.
28:09 Gareth Bale delivers the ball, Luka Modric has an effort at goal from just inside the box that misses to the left of the goal.
27:14 Corner taken by Niko Kranjcar.
26:49 Corner taken by Niko Kranjcar played to the near post, clearance made by Dickson Etuhu.
25:53 Eidur Gudjohnsen takes a shot. Save by Mark Schwarzer.
24:35 Foul by Luka Modric on Danny Murphy, free kick awarded. Damien Duff delivers the ball from the free kick left-footed from
23:44 Centre by Niko Kranjcar.
23:10 The assistant referee signals for offside against Zoltan Gera. Free kick taken by Heurelho Gomes.
22:46 Stephen Kelly produces a cross, save by Heurelho Gomes.
22:12 Eidur Gudjohnsen sends in a cross, Paul Konchesky makes a clearance.
18:54 The ball is crossed by Bobby Zamora, clearance by Michael Dawson.
16:59 The assist for the goal came from Damien Duff.
16:59 GOAL - Bobby Zamora:Tottenham 0 - 1 Fulham A goal is scored by Bobby Zamora from inside the penalty area to the bottom left corner of the goal. Tottenham 0-1 Fulham.
16:21 Luka Modric delivers the ball, Dickson Etuhu makes a clearance.
14:14 Luka Modric has an effort at goal from outside the box which misses left.
11:19 The referee blows for offside against Peter Crouch. Indirect free kick taken by Aaron Hughes.
10:40 Simon Davies takes a shot. Save by Heurelho Gomes.
10:05 Centre by Luka Modric, Brede Hangeland makes a clearance.
9:09 Centre by Benoit Assou-Ekotto.
8:28 The referee blows for offside against Damien Duff. Heurelho Gomes restarts play with the free kick.
7:34 Long range shot by Wilson Palacios goes wide right of the goal.
6:28 Damien Duff delivers the ball.
4:21 Danny Murphy takes a shot. Save made by Heurelho Gomes.
1:57 Simon Davies challenges Wilson Palacios unfairly and gives away a free kick. Free kick taken by Michael Dawson.
0:00 The game begins.
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