The news was reported via Twitter:
Mourinho will have the surgery on Monday morning, Jan. 20, in Paris, on what is believed to be an old injury after a piece of bone came loose.
The Blues boss appeared to be fine during Chelsea's 3-1 win against Manchester United at Stamford Bridge on Sunday, which was his 100th Premier League win, making him the quickest manager to reach that milestone.
He achieved the century in 20 fewer games than Sir Alex Ferguson, per BBC Sport.
The Blues continued their challenge for the Premier League title with the victory, moving within two points of leaders Arsenal. Samuel Eto'o proved the match-winner with a hat-trick.
Following the game, ESPN FC reported that Mourinho played down talk of the record and instead focused on how valuable the win against United could prove to be:
I don't care about records. I want to win the next match. It's quite a coincidence -- the first [Premier League win] was against Man United, the 100th was against Man United.
The important thing for me is that these 100 matches, they gave 300 points to Chelsea -- and, especially today, these three points are very important for us.
Mourinho had spent the majority of the game gesticulating on the touchline in trademark fashion, even invading David Moyes' technical box at one stage in order to get messages to his team.
There was no hint of the elbow problem when he was honoured at the Football Writers' Association Gala in London on Sunday evening, per Paul McCarthy's tweet:
The fact that the injury was not known before Monday's report suggests Mourinho should suffer no touchline absence as a result of the surgery.
Chelsea's next game is the FA Cup fourth-round tie against Stoke on Sunday, and the club then face three games in eight days, including the crucial Premier League clash against Manchester City on Feb. 3.
The Blues will be determined to have their inspirational leader on the sidelines as they continue their assault on three major trophies this term.