The playmaker of Turkish origin could end up leaving the North London based outfit on a free transfer unless a breakthrough is made.
Per the source, the 2014 World Cup victor is confident he will join the Red Devils.
The 29-year-old feels he is set to join his former boss, Jose Mourinho, at Old Trafford in 2018.
Mourinho has previously stated that he regards Ozil as the best No 10 in world football and the pair are said to have a strong relationship from their time together at Real.
Ozil, despite his undoubted talent, has failed to produce the sort of performances that saw Arsenal pay a then club record £42.5million for him in 2013.
Algeria appoint Rabah Madjer as Lucas Alcaraz's replacement
Madjer and his staff will be officially presented to the press on Thursday in the national team's technical center. He was in the Algerian squad that debuted at the FIFA World Cup in Spain 1982.
Despite not striking you as an archetypal Mourinho player, Ozil won one La Liga and one Copa Del Rey under his tutelage, registering 47 assists and scoring 19 goals in 103 league appearances, as per Who Scored.
There has been minimal interest in Ozil, but Arsenal are confident they can find a buyer for Ozil before his contract expires.
Arsenal chiefs had been prepared to pay the German global £275,000-a-week to sign a new deal but the Mirror claim the club are now less interested in keeping hold of the playmaker.
"Ozil wants to play another 2-3 years in the Premier League", Sogut told Fanatik.
As for money, the Mirror says that Ozil's representatives "have been asking for £350,000-a-week to sign a new deal", although the Sun puts the figure at around £300,000.