The German World Cup winner has long been seen as the solution to the defensive problems at Old Trafford, with Louis van Gaal having pursued the Dortmund ace over the summer.
But after failing to lure him away fro BVB, a winter move has been mooted.
However, Arsenal boss Arsene Wenger is keen to snatch the highly-rated enforcer from under United’s nose.
The Frenchman has seen his decision to opt against replacing Thomas Vermaelen punished by a raft of early season injuries, which have forced youngster Calum Chambers into a central defensive role.
Reports now state that Wenger has settled on Hummels as the man he wants to solve his problems, with a January offer on the cards.
The 25-year-old has previously said that he wants to stay at Dortmund for the long-term, yet the lure of a big salary in England may tempt him.
United are likely to rival any offer from the north London club.