As per an official statement from United, Varane and Mount both took part in the squad’s final training session before their flight to Germany at Carrington on Tuesday morning.
It is not yet clear whether the duo will feature against Bayern on Wednesday night.
However, the news comes as a timely boost for Erik ten Hag amid an early season injury crisis.
Mount, who joined United from Chelsea in a £60 million ($74m) deal during the summer transfer window, has not featured for the club since suffering a hamstring injury in a 2-0 loss away at Tottenham on August 19.
Raphael Varane picked up a knock during United’s 3-2 win over Nottingham Forest the following week.
However, it was initially feared he could be out for a lengthy period.
But supporters will now hope to see both players back on the pitch quicker than expected.
United will still be without several other key players for their trip to Bayern.
This includes Luke Shaw, Aaron Wan-Bissaka, and Sofyan Amrabat, who moved to Old Trafford on loan from Fiorentina on deadline day.
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According to The Telegraph, Amrabat trained away from the rest of the squad on Tuesday, having yet to recover from an injury that saw him withdraw from Morocco’s latest international squad.
