The defender picked up the problem within just 10 minutes of being brought on as a half-time substitute and had to be carried off the pitch on a stretcher.
Manchester United are now waiting to assess the seriousness of the problem, but speaking after the game, Solskjaer admitted that it doesn’t look very promising.
Solskjaer is quoted as saying by Manchester United’s website: “It seems that he’s twisted his knee so we just have to do some scans and checks on him.
“At first sight, it doesn’t look great but let’s see how it goes.”
Bailly has struggled with his fair share of injuries at Manchester United in recent seasons.
The 25-year-old was restricted to just 12 Premier League appearances for the Red Devils last season. He also missed the Africa Cup of Nations this year due to injury.
Manchester United will be aiming to try and break back into the top four next season after they finished in sixth place in the Premier League table and without a trophy last term.
So far, the Red Devils have only made two new signings this summer after completing deals for Aaron Wan-Bissaka and Daniel James.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news