The Brazilian was carried off on a stretcher against Chelsea last week and missed the win over Fulham on the final weekend of the Premier League season.
United manager Erik ten Hag said on Friday that it is “unlikely” Antony will be fit to face Manchester City.
Ten Hag said: “He still has a chance, but it’s a really small chance. He didn’t make the progress. So, what I say is he still has a chance, but it’s unlikely he is available.”
Anthony Martial has been ruled out due to hamstring injury and Lisandro Martinez is also out, so Victor Lindelof will partner Raphael Varane at centre-back.
Ten Hag said: “It’s about the players who are available. And every time we were successful, not every time, but a lot of times, many times, we were successful.
“So, we have a good squad and from a good squad we make a good team.”
Aaron Wan-Bissaka, Luke Shaw and Christian Eriksen were rested for the win over Fulham last weekend but all three are expected to return.
Predicted Man Utd XI (4-2-3-1): De Gea; Wan-Bissaka, Varane, Lindelof, Shaw; Casemiro, Eriksen; Garnacho, Fernandes, Sancho; Rashford.