The 26-year-old attacker was forced to leave the match at Old Trafford just before half-time
The England international pulled up with a possible hamstring injury with only a few minutes remaining in the first half and the last-16 first leg tied 0-0.
Lingard went back onto the pitch to test out the problem, but it quickly became apparent he would be unable to continue.
Just before the half ended, Lingard was taken off with Alexis Sanchez introduced in his place.
Lingard’s injury will come as a blow to United, with the 26-year-old having made himself a big part of his side’s resurgence under caretaker manager Ole Gunnar Solskjaer.
Since the Norweigan took charge in December, Lingard has four goals and three assists for the Red Devils in all competitions.
United are also facing a difficult run of fixtures that will test the squad’s depth.
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Anthony Martial also went down with a possible hamstring injury in the first half of Tuesday’s game, though the Frenchman was able to continue.
However, Martial was taken off at the half in favour of Juan Mata, though it was not clear if that substiution was related to the injury.