Reports that surfaced yesterday had suggested that the Red Devils could swoop for the World Cup-winning midfielder prior to next week's deadline, with Real boss Carlo Ancelotti having conceded that Khedira could leave the Santiago Bernabeu.
And while that may have sounded encouraging to Manchester United supporters who crave the addition of an effective and formidable midfield presence, The Daily Express claim that the Premier League giants are not about to move for the £12 million-rated 27-year-old.
Mixed summer for Khedira
It has been a summer of mixed fortunes thus far for Khedira. Although the former Stuttgart enforcer helped his native Germany to a memorable and dominant success in Brazil, his domestic future has become subject to a seemingly never-ending stream of speculation.
Despite missing most of the 2013/14 campaign with a nasty knee injury sustained on international duty in November, Khedira - who did return in time to play a key role in Real's Champions League triumph - was considered a key figure in the Spanish capital, until a spate of new expensive signings in the form of compatriot Toni Kroos and Colombian James Rodriguez appeared to render him somewhat surplus to requirements.
Khedira's own contract situation is also a big factor. With his current deal in La Liga due to expire in 2015 and the player seemingly unwilling to enter negotiations over an extension, it seems Real will have to sell in order to avoid the risk of losing him for free.
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Manchester United's pursuit of a top new midfielder is certainly no secret, with new manager Louis van Gaal having seemingly spent a great deal of the window trying to entice Juventus star Arturo Vidal to Old Trafford.
Such an ambitiou chase looks increasingly desperate and futile, however, with Juve boss general director Giuseppe Marotta insisting that the club want to keep the Chilean.
While Khedira may arguably not have been quite as impressive a capture as Vidal, he would still have represented a significant upgrade on Van Gaal's current options.
Chelsea and Arsenal interest
Manchester United's lack of interest in Khedira should come as a fitting boost to top-flight rivals Arsenal and Chelsea, both of whom have been continually linked with his signature over recent months.
The Gunners could well be in the market for a new defensive midfielder in the coming days, with captain Mikel Arteta having sustained an ankle problem during the goalless draw with Besiktas in Turkey on Tuesday evening.
Chelsea have already radically strengthened their midfield during the current window, with the departure of club stalwart Frank Lampard offset with the arrival of a certain Cesc Fabregas at Stamford Bridge.
Mourinho also has the likes of Nemanja Matic, Ramires and John Obi Mikel to choose from in that area, although the Portuguese is know to be a keen admirer of £12 million-rated Khedira having been responsible for bringing him to Real in 2010.