The actor and comic - who hosts the returning series - is seen donning a leotard in the promotional clip for the show's sixth series.
A League of Their Own will return to Sky1 on Friday, October 26 at 10pm. Corden will be back in the hosting seat, joined by team captains Jamie Redknapp and Freddie Flintoff, plus regular panellists John Bishop and Jack Whitehall.
The quiz's series six opener will feature Claudia Winkleman and double Olympic gold medallist Mo Farah as guests, while gymnastics star Louis Smith will also be in the studio to challenge Flintoff and Redknapp's strength and endurance on the pommel horse.
The synchronised swimming sequence will form part of the following week's episode (November 2).
> Freddie Flintoff to become professional boxer in new Sky1 show
> James Corden, Jamie Redknapp: 'A League of Their Own just gets bigger'