Pogba has not played for his club since September 30 and, speaking after United's 3-1 win at Norwich on Sunday, Solskjaer revealed it would likely be a minimum of around five weeks before the 26-year-old was back and available.
It means Fred, who has started all three of United's Premier League fixtures in Pogba's absence, will keep his place in the side, and Solskjaer has been happy with his performances.
The Brazilian has had a troubled time since Jose Mourinho brought him to the club for a large transfer fee, and he has struggled to live up to and justify such an outlay.