Three tries from Tom Varndell helped Leicester to a victory at Sixways.
Worcester had taken an early lead after two penalties from Tommy Hayes.
Scott Bemand, Austin Healey and Neil Back all went over the line to put the Tigers firmly in charge by half-time.
Varndell added three more after the break, despite a late consolation try from Paul Sampson.
The Tigers led 7-6 by half-time and Varndell, playing only his second match for the club, then took over with three tries in 12 second-half minutes.
Worcester: Thinus Delport, Daren O’Leary, Dale Rasmussen, Gary Trueman, Ben Gollings, Tommy Hayes, Clive Stuart-Smith, Drew Hickey, Pat Sanderson, Leon Greeff, Craig Gillies, Tim Collier, Chris Horsman, Ben Daly, Tony Windo
Replacements: Phil Murphy, Andre Van Niekerk, Neil Lyman, Matt Powell, Mark Gabey, Paul Sampson, Duncan Roke
Leicester: Sam Vesty, Austin Healey/Alesana Tuilagi, Seru Rabeni, Daryl Gibson, Tom Varndell, Andy Goode, Scott Bemand, Michael Holford, James Buckland, Darren Morris, Martin Johnson (capt), Louis Deacon, Brett Deacon, Neil Back, Henry Tuilagi.
Replacements: Richard Cockerill, Matt Hampson, Colin Noon, James Hamilton, Will Johnson, Will Skinner, Matt Cornwell, Ross Broadfoot.
WORCESTER: (6) 11
Pen: Hayes 2
LEICESTER: (16) 38
Tries: Bemand, Back, Healey, Varndell 3
Cons: Goode 3