The trio missed the FA Cup win over Watford due to injury, and could be set to be out for Tuesday’s trip to Burnley.
The Red Devils take on reigning Premier League champions Liverpool on Sunday as the two teams battle it out at the top of the table.
And Solskjaer is optimistic his injured trio will be able to return for the weekend, saying: “I hope so. I hope all of them for Liverpool anyway.
“I’m not sure if they’ll make the Burnley one, but we have light training tomorrow [Sunday] and we’ll see on Monday.”
Defender Eric Bailly is also a doubt having suffered a neck injury during the win over Watford.
Solskjaer has said the centre-back did not suffer a concussion, though it could open the door for Axel Tuanzebe to feature.
After his fourth start of the season against Watford, Tuanzebe said of the upcoming fixtures: “We want to be top of the league and this is the time to do it.
“They are two games that can really cement our position at the top and we just bounce on from there.
“I’d obviously love to get more minutes, so I can constantly keep my performances up.
“Obviously the team are doing well so the only way in is really to force myself in with the chances that I do get.
“Sometimes the opportunity can just come out of the blue.”
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While Solskjaer is keen to continue United’s fine league form, adding: “We’ve had good momentum. We started well again after the disappointment against City.
“[We] bounced back really well with a win and, of course, we want to build momentum again. If we can get a win on Tuesday then if you can win two games in a row, you go into the next game confident.
“Every game in the Premier League is a chance to build some more confidence.”