The star sustained the minor injury due to the physicality of his role in One Man, Two Guvnors, according to the New York Times.
As part of the role, Corden has to frequently bash into a number of objects, deliberately fall over and smack himself in the head with a dustbin lid.
Despite the physical role having taken its toll on the Gavin & Stacey creator, he has reportedly refused to complain and remains dedicated to the show.
The director of the show Cal McCrystal praised Corden for his abilities in theatre acting, stating: "For someone who has done so much television work, there's a really surprising fearlessness about James.
"Usually they are scared to throw themselves about, and I think that when he read the script, it was probably, 'Crikey, this is a big ask'. And the funnyman has made a huge physical transformation too."
Corden recently won a prestigious 'Best Actor' Tony Award for the show.