Spanish newspaper Marca reports that United are keen to beat rivals Arsenal in the race to sign Sahin.
The Gunners are keen to sign the Turkey international midfielder on loan, while United are prepared to make an offer to buy him.
Sahin has failed to make the expected impact at Real Madrid since joining the club from Borussia Dortmund last summer.
Sahin is reportedly interested in a move to Old Trafford this summer.
