A statement released Monday by Morgan's publicist says Morgan is doing well and taking "much-needed time" to recover from the surgery earlier this month.
The statement says the actor-comedian looks forward to returning to work on the New York-based NBC sitcom after the holidays.
The 42-year-old Morgan plays the goofy star of a TV show on "30 Rock." Another "30 Rock" cast member, Grizz Chapman, also received a new kidney earlier this year.
NBC didn't immediately respond to a query about how Morgan's surgery would affect production of the sitcom.