Trailing 17-6 at half time, Saracens scored four tries in a one-sided second-half to stay in second place in the Aviva Premiership.
It was their fourth successive win at Leicester, who have suffered two consecutive defeats having lost at champions Harlequins last week.
Saracens' tries came from wingers David Strettle (two), James Short and full-back Chris Wyles, with fly-half Charlie Hodgson kicking 12 points.
Julian Salvi and Dan Bowden scored for Leicester, who were also awarded a penalty try right on full-time when Strettle deliberately knocked on and was sin-binned.
