Solskjaer spoke to the media shortly after the squad returned to Manchester from Dubai, where the Reds had been training since last weekend's 2-0 Emirates FA Cup win over Reading.
Pogba picked up a knock after a robust challenge from Newcastle United midfielder Jonjo Shelvey in the Reds' 2-0 win at St James' Park on 2 January. The Frenchman played no part in last weekend's cup win and he travelled to the Middle East separately from his team-mates after initially staying behind for treatment.
Pogba arrived in Dubai after the rest of the squad, but has been taking part in training.