The pair agreed that the Sky programme was able to improve because it celebrated sports star guests instead of mocking them.
Talking to journalists including Digital Spy, Corden said: "What's testament to the show is that... there are quite a lot of people who ring up to say 'I'd like to come on please'. I think people realised and understood this was a show where we're not bringing anyone on to make a fool of them, it's like if anyone's going to look silly it will be us.
"I think its greatest strength is this unrelenting [refusal] to rest on its laurels. We are so committed to making it bigger every time. This is already Sky's most successful comedy, they could go, 'This is great guys carry on as you are', but it's just this thing of going, 'What can we do next?'"
Asked what new panellist Jack Whitehall brought to A League of Their Own, Corden continued: "I think he was an obvious choice actually. Because I think if you're going to bring somebody in who will make an impact on the show, you're not [looking for] a like for like replacement.
"If you're bringing in another Sky Sports star, it's almost disrespectful to [outgoing panellist] Georgie Thompson."
The pair added that they would love to have Eric Cantona and Jamie's father Harry Redknapp on a future series, also admitting that they often get distracted by their illustrious guests.
Corden explained: "There are moments when you try and stop and go, 'Tell me about when you scored that goal'. 'What was going through your mind when you were about to win the US Masters?'"
"I sometimes rob that moment though," Jamie said. "Because I sit there and I'm fascinated in what makes Joe Hart tick. But when it gets serious it feels a bit funny... you know the crowd are expecting James and everyone to be cracking jokes."
A League of Their Own series five begins Friday (April 20) at 9pm on Sky1.
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