Mourinho was unsure, however, if France forward Anthony Martial would return in time to play Sunday's final friendly against Bayern Munich after he left the team's preseason tour early to attend the birth of his daughter.
The treatment of the Frenchman is in stark contrast to Liverpool's German boss Jurgen Klopp publically supported his squad member Nathaniel Clyne, who left the club's own USA tour to prepare for fatherhood.
Martial, who was fined by United £180,000 for failing to train during his period away from the first-team has finally spoken.
Do you think Martial would be a good option for Real? My little Swan is fine, for the mother it was more hard but thanks to God she is better now.
Mourinho does not want the frontman to come back and haunt him in the Premier League with interest from Tottenham and Chelsea rebuffed. "Back in Manchester tomorrow".
The 22-year-old has not returned to United's training ground since the birth of his son a week ago.
After United's 4-1 defeat by Liverpool in MI on Saturday, Mourinho called on Martial to come back. There is still time, though.
Sources have told ESPN FC that Martial is keen to leave Old Trafford this summer after falling down the pecking order following the arrival of Alexis Sanchez and seeing talks over a new long-term deal stall.
Speaking to MUTV after the Liverpool game Mourinho said, "Anthony Martial has the baby and after the baby is born - lovely baby, full of health, thank God - he should be here and he is not here".
The Frenchman has been out of a job since leaving Real Madrid a few days after picking up a third straight Champions League crown.
Mourinho has brought in three players this summer but recently claimed that he would like two more.
"Secondly, I am a football player".