The Frenchman sat out the FA Cup third-round win against Reading last time out after sustaining a knock to the back of his right leg following a challenge from Newcastle midfielder Jonjo Shelvey last week.
Pogba initially remained in Manchester to go undergo further treatment before joining his team-mates in Dubai for their warm-weather training camp this week.
Upon their return, caretaker manager Ole Gunnar Solskjaer said: "He looked OK towards the end there, so he'll be fit.
"He did have some problems but he came through the last couple of sessions well, so he should be OK."
Marcos Rojo left the training camp early as his injury is taking longer to heal than expected.
Rojo has made just three appearances all season and Solskjaer revealed the defender has returned to his home country to continue his recovery.
The Norwegian added: "He's gone back to Argentina for a while because of his injury. Mentally it was important for him to get away and then come back fresh again."