David Moyes made a late move for the German international over the summer, but was unable to tie up a deal.
But, the Scot remains interested in the 26-year-old, who is thought to be unsettled at the Bernabeu.
The Premier League champions had scouts in attendance for Real’s recent 7-3 win over Sevilla to assess Khedira.
Rumours suggest that the reports received were unanimously positive, which has convinced Moyes to press ahead with a £35m move.
The former Everton man has only been able to sign Marouane Fellaini since taking control at Old Trafford, and is believed to have concerns over his options in central positions.
Khedira is seen as the perfect man to add a combative edge as well as some forward-thinking creativity to the Red Devils’ ranks.
Real are thought to be willing to sell for the right price, with the ex-Stuttgart man no longer an essential first-team player
Chelsea are also keen, with Jose Mourinho – who coached the midfielder while in the Spanish capital – an admirer of his abilities.
Could Sami Khedira transform Manchester United’s midfield?
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