The 26-year-old Germany international was a regular under Mourinho at the Santiago Bernabeu last season and has been linked with a move to Stamford Bridge to be reunited with the Portuguese tactician.
However, Khedira has insisted he is happy with life in the Spanish capital and is looking forward to working with newly-appointed manager Carlo Ancelotti.
He told Welt Am Sonntag: "I have enjoyed working with him [Mourinho] very much and rate him high.
"Three years ago he handed me the chance to make the next step from Bundesliga to Real Madrid as young international. But I am contracted to Real and now I am first of all looking forward to working with Carlo Ancelotti."