Morrison, 34, is best known for his role as Will Schuester in the musical-comedy-drama and has worked on more than four tracks for upcoming album, reported Daily Star online.
"I play the ukulele so I have done this Hawaiian Christmas song called 'Mele kalikimaka' and then 'Let it snow', 'O holy night', 'I'll be home for Christmas' and others," Morrison said.
"It should be out for Christmas 2013," he added.