The Frenchman has scored in each of his last three outings for the Reds, including notching an important away goal in the first leg in Belgium.
There will be the hope he can be available for Sunday's trip to Merseyside to face Everton in the Premier League, while his absence hands a chance up front to Odion Ighalo, who starts a United match for the first time.
“He [Anthony] didn't feel right during the training yesterday, or he walked off during the training, and he is injured so hopefully it won't be too bad,” said Ole to MUTV's Stewart Gardner.