The 50-year-old is thought to have aggravated an old injury and traveled to Paris for the operation, but will return to work Tuesday to prepare for a visit from Stoke.
The Portuguese, who oversaw a 3-1 victory over Manchester United on Sunday, is believed to have traveled to Paris for the operation.
“Jose Mourinho today underwent a minor arthroscopic procedure on a long-standing elbow complaint,” read a tweet from the club's official Twitter account Monday. “He will return to work tomorrow.”
The 50-year-old, thought to have aggravated an old childhood injury, will return to work on Tuesday as the side prepares for its FA Cup fourth-round clash with Stoke City on Sunday.
Mourinho's Chelsea re-closed the gap on league leader Arsenal with its Samuel Eto'o-inspired victory over United, and now trails the Gunners by just two points.