But the Ivorian must prove his fitness first, reports ESPN.
Bailly will enter the final year of his existing deal in the summer and his representatives have been contacted about the possibility of agreeing fresh terms, sources said.
There remain concerns about how often he is ruled out through injury, however, and manager Ole Gunnar Solskjaer is keen to sign a left-footed centre-back in the summer transfer window.
Bailly, signed from La Liga side Villarreal for £30m in 2016, has managed more than 20 appearances in all competitions in just one of his four years at the club. This season, the 26-year-old has missed 63 days and 13 games through injury.