Moody scored the first try inside a minute for Leicester
Leicester 57 (29)
Tries: Moody 3, Ellis, Jennings 2, Gibson, Varndell
Cons: Goode 6, Gibson
Bourgoin 3 (3)
Leicester boosted their chances of escaping Pool Four of the Heineken Cup with an eight-try thrashing of French side Bourgoin.
Lewis Moody crossed for the first try inside a minute and went on to grab a hat-trick for the Tigers.
It was largely one-way traffic and the hosts ran in further tries through Harry Ellis, Shane Jennings (two), Daryl Gibson and Tom Varndell.
Andy Goode kept the scoreboard ticking over with 15 points from the boot.
Bourgoin are notorious for putting the French league ahead of the Heineken Cup, and watching European Rugby Cup chief executive Derek McGrath could not have been impressed by their abject surrender.
The visitors fell behind after just 29 seconds as Moody plundered the first try of his treble.
And they never looked like adding to a miserable record of just two wins from their last 17 European starts.
606 DEBATE: Will Leicester win their group?
Bourgoin already trailed 29-0 at the break and the last thing they needed was the arrival of young England winger Varndell as a replacement.
His first touch came as a result of Geordan Murphy's exquisite pass and ended in a 70m try.
Moody then scored two tries in two minutes to complete his treble before making way after 62 minutes, with Leicester already 50 points to the good and the bonus-point long since secured.
Leicester host Cardiff in round five and they are likely to have to win away to Munster in January if they want to top the group.
Leicester boss Pat Howard:
"There is a lot of water to go under the bridge before we play Munster.
"Today's victory has ensured we have kept ourselves in the hunt, and I am sure we will be in the right frame of mind when we go to Munster."
Hat-trick hero Lewis Moody:
"We have now got to beat Cardiff if we really want to have a chance to progress in this tournament this season.
"We need to be in a position to go to Munster whereby we have given ourselves every opportunity to win."
Leicester: Vesty; Murphy, Hipkiss, Gibson, Lloyd; Goode, Ellis; Moreno, Buckland, Castrogiovanni, Deacon, Kay, Moody, Jennings, Corry.
Replacements: Chuter, White, Hamilton, Deacon, Bemand, Murphy, Varndell
Bourgoin: Denos; Davis, Bousses, Coetzee, Coux; Laloo, Prendergast; Khinchagishvili, Cabello, Cardinali, Fevre, Del-Fava, Frier, Rennie, Monzeglio.
Replacements: Vigneaux, Sourgens, Williams, Diotallevi, Parra, Nicolas, Boyet.