The England midfielder, who joined United from Chelsea in 2023, has been hampered by injury problems since arriving at Old Trafford, and he lasted less than 20 minutes on Saturday after starting against PSG.
Mount, 27, appeared to suffer a foot injury in Sweden and, following discussions with coaches on the touchline, left the field to be replaced by Tyler Fletcher.
Mount has been restricted to just 31 league appearances - many of them as a substitute - during his first two seasons with United.
His side were 1-0 down to PSG at the time of Mount's injury, having gone behind in the second minute through an Ibrahim Mbaye goal even though the French giants were missing many of their star players.
But Bryan Mbeumo equalised for United in the 32nd minute after Amad Diallo played him in after winning the ball back.
There were more injury concerns for United early in the second half when their 40-year-old goalkeeper Tom Heaton suffered a right hamstring problem while rushing out to make a clearance.
Mbeumo might have doubled his tally but for the fine form of PSG's Matvey Safonov but the goalkeeper left the pitch to jeers after escaping punishment for clattering into Joshua Zirkzee way outside of his area - an incident that may well have seen him sanctioned in a competitive match.
At the other end, there were late chances for Fletcher, Shea Lacey and captain Bruno Fernandes, who linked up well with new arrival Youri Tielemans in an encouraging sign for United manager Michael Carrick.
United have two more friendly fixtures, against bitter rivals Leeds in Dublin on August 12th and AC Milan in the Polish city of Wroclaw three days later, before launching their Premier League campaign away to newly-promoted Hull on August 22nd.