The Englishman is very much out of favour with manager Ole Gunnar Solskjaer at the club.
Lingard is rarely involved in the Premier League for United, and wants to leave on loan to get regular game time.
"Jesse trained this morning, he wasn't in the squad," Solskjaer said before United's 3-2 win over Liverpool in the FA Cup.
"So, of course, he wants to play football, we will have to see and I will sit down with Jesse and make a decision on what we're going to do.
"So far, he's been the ultimate professional, trained well with a small group this morning that were not in squad.
"I will sit down and see if anything comes up. I'm very happy to have him around us as I know he could have played today and done well."