The skit starts with Kimmel accompanying his pregnant wife Molly McNearney as she receives an ultrasound. Suddenly Damon walks in through the door exclaiming that he in fact had fathered the child.
"You promised me you were going to stop [expletive] my girlfriend. She's my wife!" Kimmel yelled.
Damon replied, "And I did! She is not your girlfriend!"
The late night host and actor decide that the best way to settle who was the father was to visit the Maury show, famous for televising the results of DNA tests.
In classic Maury fashion, Kimmel and Damon exchange jabs at each other in backstage vignettes before the results of the test are revealed. "If Matt is the father of Molly's baby, I will sue him," Kimmel said. "I will sue Molly, I will sue Maury, I will sue the baby -- I will sue."
In a surprise twist, the results read by Martin Short acting as Maury Povich, revealed that neither Kimmel nor Damon was the father. It was then that comedian Tracy Morgan entered the show revealing himself to be the father.
"Guess who's coming to dinner," Morgan said.
Molly then confronts the bitter rivals stating, "How can either of you satisfy me when all you really want is each other?"
The segment was Damon's latest appearance on Jimmy Kimmel Live! as part of the pair's ongoing yet fictional feud. The Jason Bourne star had recently attempted to sneak onto the show dressed up as Super Bowl champion Tom Brady.