Luke Shaw, Phil Jones and Jadon Sancho are among the Manchester United players who could miss their final game of the season at Crystal Palace.
Shaw's partner, Anouska, gave birth to their second child on Friday and the left-back is unlikely to participate in United's final training session before they travel to London.
Jones and Sancho withdrew from Friday's training session and Alejandro Garnacho has missed most of first-team training since his FA Youth Cup final heroics last week due to illness.
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Ralf Rangnick said: "We once again, unfortunately, have quite a few players missing and another couple of players with question marks so we have to wait for tomorrow’s last training session. As it stands now, there will be quite a few players missing, but I am still positive there will be a strong starting line-up and finish the season on a higher note than we did at Brighton.
"There are a few players missing but I don’t want to name all those names right now. A few are still question marks, Luke Shaw’s wife gave birth to their second baby today and he was supposed to be back for training tomorrow but apparently he isn't, so we will have to see if he is at least able to go on the bench on Sunday. In today’s training, we had one or two players leaving the session a little early because they couldn't finish the session, because they had problems, that was Jadon and Phil Jones, so we need to wait until after the session tomorrow.
"Unfortunately, Alejandro was ill in the last couple of days. He was training with us until midweek last week but then he had to drop out because he was ill and I think today was the first training session he was back again. He might be in the squad but I am not sure if he is physically, after this illness, capable and fit enough to play.
"I'm positive the players want to get things right and show and prove to everybody they are capable of playing a lot better than we did at Brighton.
"I am also positive they would rather play in the Europa League rather than the Conference League. They will have to play Thursday evening rather than Tuesday and Wednesday, but I think it is still a big difference if a club like Manchester United plays in the Europa League rather than the Conference League.
"You could see the day before yesterday a club like Eintracht Frankfurt, who finished in the lower half of the Bundesliga, won the Europa League and qualified for the Champions League I think for the first time in the history since the Champions League [started] and this should also be an incentive for everybody to make sure we qualify for the Europa League at least on Sunday."
Paul Pogba has not trained this week due to a calf problem he sustained against Liverpool on April 19 and is almost certainly still out.
