The France international missed his team's 2-0 loss to Arsenal on Wednesday after complaining of what Solskjaer described as "discomfort" in his ankle.
"We've had scans and it's nothing major, it's something that has to be sorted and dealt within a timeframe and he's been advised to do it as soon as possible, so he'll be out for three or four weeks," Solskjaer said after the match. "We've had consultants looking at him as well and club has been looking at it, the scans have been done by us. We've been without him all season, so the boys who've been playing have been fantastic."
Pogba's absence is a further blow for Solskjaer after Scott McTominay was ruled out for more than a month with knee ligament damage. The Scotland international has been on crutches since suffering the injury against Newcastle on Boxing Day.
"Scotty's been magnificent and we just hope that Paul can come back, he'll be back within a month," Solskjaer added. "If Nemanja Matic and Fred play like they did today I'll be happy with them, because they played well, the two of them."
Solskjaer also hinted that the recent rash of injuries coulf force the club could pursue reinforcement options during the transfer window.
"Of course, it's playing on our decision-making when you've got two players out -- Paul out for a month and Scott for two. That will give us less options and we've got loads of games and important games. Still, it's got to be right and that's the point here.
"If [signings are] available and it's possible, we'll do something, definitely. We're looking at one or two."
An operation would see Pogba miss the Carabao Cup semifinal first leg with Manchester City at Old Trafford on Jan. 7 and the trip to Anfield to face Liverpool on Jan. 19, as per iSports API football data.
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Prior to Wednesday's match, Solskjaer said Pogba would be sidelined "for a few weeks" due to feeling some discomfort in his ankle.
Pogba has been plagued this season with the foot injury. He didn't play between Sept. 30 and Dec. 22 and has only made two substitute appearances since then, recorded by iSports API.
Solskjaer said following a 2-0 win over Burnley on Saturday that he expected Pogba to be available at the Emirates for United's New Years' Day game but he was absent from the squad which travelled to London on Tuesday.
Following the victory at Turf Moor, the players were granted a day off on Sunday and Pogba used his to travel to France to attend a charity match. He returned to Carrington on Monday but was not able to take part in training.
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Prior to Wednesday's match, Solskjaer said Pogba would be sidelined "for a few weeks" due to feeling some discomfort in his ankle.
Pogba has been plagued this season with the foot injury. He didn't play between Sept. 30 and Dec. 22 and has only made two substitute appearances since then, recorded by iSports API.
Solskjaer said following a 2-0 win over Burnley on Saturday that he expected Pogba to be available at the Emirates for United's New Years' Day game but he was absent from the squad which travelled to London on Tuesday.
Following the victory at Turf Moor, the players were granted a day off on Sunday and Pogba used his to travel to France to attend a charity match. He returned to Carrington on Monday but was not able to take part in training.