Bailly wants to remain at Old Trafford this summer despite reported interest from Arsenal and Lyon.
The Ivory Coast centre-back has seen limited first-team opportunities this season, struggling with injuries and also failing to impress Ole Gunnar Solskjaer.
But the Manchester Evening News says Bailly is intent on forcing his way back into Solskjaer's starting XI.
Bailly wants to fight for his place at Old Trafford rather than seek pastures new, it is claimed, and he's in no rush to quit his current club.
The defender has not featured for the Red Devils since the Champions League clash at Paris Saint-Germain, where he was taken off before half-time.