Speaking to Sky News at the National Television Awards last night, Corden said that the brothers should bow out from the public eye while they are still popular.
Asked if he was a Jedward fan, the Gavin & Stacey actor replied: "Not so much - not anymore. I think it's about time they just disappeared, don't you? I mean, we've all had our fun, now let's not milk it."
On how the duo might respond to his remarks, he said: "I'm sure they wouldn't have a clue who I am!"
John & Edward performed their new single 'Under Pressure (Ice Ice Baby)' at the NTAs last night. The track will be available for download on January 31.