By Mark Orlovac
BBC Sport at the Crucible
Hunter trailed early in the match
Paul Hunter needed only three frames of the final session to complete a comprehensive 13-6 second-round victory over Matthew Stevens.
The Englishman started 12-4 ahead but had to weather a brief comeback as Stevens threatened fired in breaks of 49 and 128 to pull the score back to 12-6.
However the result was never really in doubt as Hunter sealed the win in the next frame to set up a last-eight showdown against Peter Ebdon.
Hunter is confident that he has the ability to dethrone the defending champion.
I'm more determined to win here this time
"Peter has not had a great season but he has shown some form so it will be a tough match," said Hunter.
"But I am going to be up there with him and I intend to give him a good game. It is all about taking your chances.
"Maybe I'm more determined to win here this time as I've been knocked out early on in the last few years."
Eighth seed Stevens tipped Hunter as a possible world champion.
"It was not a great match, neither of us could get going but he played better than me and that's about it."
"Paul can go on to win this event. He has had a good season and is a fine player. He is so calm around the table and has a good temperament."
Second-round latest: M Stevens (Wal) 6-13 P Hunter (Eng)
68-59, 1-82 (55), 15-81 (50), 0-110 (110), 34-78, 84-0 (84), 61-74 (61, 69), 17-112 (54, 58), 7-67, 56-65, 42-71, 79-14 (59), 50-77 (Stevens 50, Hunter 77), 69-62 (Stevens 62), 0-91, 0-107 (101), 68-33, 128-1 (128), 38-78.