The central defender has returned to the club last week following his participation at the Africa Cup of Nations with the Ivory Coast.
But he limped out of a under-23s clash against Everton in the 58th minute yesterday after suffering a knock to his ankle.
Manchester United predicted XI to face Hull
Mon, January 30, 2017
Express Sport brings you our predicted Manchester United team to face Hull on Wednesday
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Who could Jose Mourinho start against Hull on Wednesday?
Manchester United released a statement saying the injury was "nothing serious".
And in his pre-match press conference today, Mourinho revealed Bailly will be in the squad to play Hull.
Man United defender Eric Bailly
Mourinho also confirmed Zlatan Ibrahimovic, Paul Pogba and Antonio Valencia will return to the starting XI after being rested.
He said: "Some players who didn't play the last match – like Valencia, Ibra, Pogba – will play tomorrow."