Healey had been out for much of the season with an Achilles problem, one worsened last week after falling from a ladder during joke in a team bonding session, but with a place in the play-offs still up for grabs, there was no clowning around from the champions on the field.
It was Healey's seventh-minute try that got the scoreboard ticking over, against a Sharks side with veteran Jos Baxendall at fly-half for the injured Charlie Hodgson, in the week that Planet Rugby revealed the impending arrival of Leeds' Braam van Straaten at Heywood Road next season.
Midway through the first half the home side doubled their lead with Irish Six Nations star Geordan Murphy sailing over for their second try, converted by Tim Stimpson.
Stimpson then added another two penalties to increase the lead, and just before the break they helped themselves to their third – centre Leon Lloyd crossing the line to make a potentially vital four-try bonus point look realistic.
Stimpson converted and on the stroke of 40 minutes the Sharks got their opening score, Australian centre Graeme Bond going over to redress the balance slightly.
That was followed by their second not long after, second rower Dean Schofield touching down, with Baxendall again converting to get them within reach of the champions.
A timely try from Samoan powerhouse Fereti Tuilagi however calmed the Leicester nerves seven minutes into the second half, with Stimpson's conversion taking their tally to 33 points, having also ensured a vital bonus point.
Two second-half penalties from Baxendall threatened to get the Sharks back in with a shout, but Leicester's resolve was too much for the visitors.
For Leicester Tigers:Tries: Healey, Murphy, Lloyd, TuilagiCons: Stimpson 2Pens: Stimpson 3
For the Sharks:Tries: Bond, SchofieldCons: Baxendall 2Pens: Baxendall 2