Lingard will be ineligible to face his parent club in Sunday's Premier League clash.
Moyes said, "He will be a big loss because he has had a big impact on the team.
"But we have other people and we wanted competitions for places and Jesse has given us that.
"But we have got people who can do those jobs as well. We have played Man Utd twice already and we have lost [in the Premier League and FA Cup] but we have run them close, going to extra-time and the first one with a goal that should not have been given."