He recently apologised for throwing a training bib in the direction of his manager after being left on the bench as an unused substitute against Tottenham Hotspur on Nov. 29.
Speaking to a Spanish radio station last week, Costa left the door open on a possible return to his former club Atletico Madrid, but Mourinho moved to quash speculation that the 27-year-old was set for a premature exit from Stamford Bridge.
"He is happy here, he likes to be here," the Portuguese told reporters ahead of Monday's Premier League clash against third-placed Leicester City.
"He has I think three more years on his contract. I see him staying at Chelsea for three more years, no problem.
"He said that in football, you never know.
"Atletico is a great club, Madrid is a great city, La Liga is a very good league so why should a player who is 27 years old not think that in football it is possible to be back?
"I don't see that as a problem."
Chelsea, who are 16th in the table and a point above the relegation zone, will be looking to make amends for their shock 1-0 home defeat by Bournemouth on Dec. 5 when they line up against Leicester at the King Power Stadium.
(Reporting by Simon Jennings in Bengaluru; Editing by Ian Ransom)
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