I think that's a stretch. The tier below Messi/Ronaldo/Suarez includes Aguero, Hazard, Benzema, Zlatan, Rooney (in his prime).
Each of those players have individually carried title-winning attacks. Is Sturridge that good? I don't think he is - he can be moody, drifts out of games, and struggles a bit when he plays as a lone striker.
He could get there of course if he can stay fit. The trouble is that even if he stays fit, he's already 26. And he's a player who relies a lot on his acceleration. So I'd say he has about a 2-3 year window to establish himself in that second tier .
If he does, we'll come close to winning a title again IMO.
I doubt he can though - he's too brittle.