Charles Piutau scored a brace of tries as they beat Leceister 36-24 in the Premiership at the Ricoh Arena on Saturday
The victory takes Wasps to third place on the table.
Dai Young's side were forced to defend right until the last minute, as the Tigers looked for a fourth try to secure two losing bonus points.
Piutau stole the show with two tries as well as setting up Frank Halai, while Christian Wade and Nathan Hughes also adding to the scoreline.
Jimmy Gopperth opened the scoring after two minutes, before Ashley Johnson's bursting run drew in three Leicester defenders, giving Piutau space to bulldoze his way to the try line. Gopperth missed the kick, leaving the scores at 8-0.
Leicester hit back soon after, with Freddie Burns slotting his first attempt at the posts, before Peter Betham found himself the beneficiary of a Christian Wade mistake as he latched on to a loose pass to run home unchallenged.
Burns converted twice, having been asked to retake his kick by referee Greg Garner having taken in from the wrong position. Wade was quick to make amends however, as he rose above Vereniki Goneva to collect a Gopperth kick, before emphatically diving for the try.
The fly-half added the extras from out wide, making it 15-10 to the home side. Wasps then found their rhythm, as Siale Piutau set up his brother Charles for his second of the game, as he ran under the posts to make Gopperth's conversion a formality.
Straight after the break, Wasps' leading try scorer Halai secured the bonus point for his side having been set up by Charles Piutau. Gopperth converted once again.
Leicester wouldn't go down without a fight, and replacement winger Telusa Veainu dabbed down just moments after entering the field of play. Burns converted from wide, making the score 29-17.
Just after the hour mark, Hughes was able to cap off a fantastic team try following some fast passing through the Wasps' backs.
Replacement fly-half Alex Lozowski added the extras, as his attempt bounced through off the upright. In the 76th minute Goneva went over with Burns adding the extras, it was a little too late as the final score was 36-24 to the home side.
Tries: Wade, Piutau 2, Halai, Hughes
Cons: Gopperth 3, Lozowski
Tries: Betham, Veainu, Goneva
Cons: Burns 3
Wasps: 15 Rob Miller,14 Christian Wade, 13 Charles Piutau, 12 Siale Piutau, 11Frank Halai, 10 Jimmy Gopperth, 9 Dan Robson, 8 Sam Jones, 7 George Smith, 6 Thomas Young, 5 Kearnan Myall, 4 James Cannon, 3 Jake Cooper-Woolley, 2 Ashley Johnson, 1 Simon McIntyre
Replacements: 16 Edd Shervington, 17 Matt Mullan,18 Phil Swainston, 19 Will Rowlands, 20 Nathan Hughes, 21 Jamie Stevenson, 22 Alex Lozowski, 23 Brendan Macken
Leicester Tigers: 15 Mathew Tait, 14 Adam Thompstone, 13 Peter Betham, 12 Matt Smith, 11 Vereniki Goneva, 10 Freddie Burns, 9 Jono Kitto, 8 Ed Slater, 7 Lachlan McCaffrey, 6 Tom Croft, 5 Dom Barrow, 4 Mike Fitzgerald, 3 Logovi'i Mulipola, 2 Harry Thacker, 1 Marcos Ayerza
Replacements: 16 Michael Van Vuuren, 17 Ellis Genge,18 Fraser Balmain, 19 Graham Kitchener, 20 Mike Williams, 21 George Tresidder, 22 Owen Williams, 23 Telusa Veainu
Referee: Greg Garner
Assistant Referees: Ashley Rowden, Paul Burton
TMO: Trevor Fisher