The young Pole will deputise for first-choice goalkeeper Edwin van der Sar, who is out of the match with an injured toe suffered in Saturday's win at Birmingham City.
"Tomasz made one very good save and showed why he is a Manchester United player," said Queiroz.
"It is very hard for him behind a player as good as Edwin and he has had to wait for his opportunity, but we are very confident in his ability and we have no worries."
Tom Heaton, 21, who is yet to play for United, will cover Kuszczak on the bench.