United missed out on the Germany midfielder in the summer window, but may try again in January.
The Mirror reports that United are considering making a £35million bid for Khedira in January.
United boss David Moyes sent assistant coach Phil Neville to watch Khedira in action in Real Madrid’s 7-3 home win over Sevilla last week.
Moyes is keen to bolster his midfield in January and Khedira would be able to come in and strengthen his side.