Corden first guest-starred in Doctor Who's series five episode 'The Lodger' and later helped defeat the Cybermen in last year's 'Closing Time'.
In an interview with Entertainment Weekly, Smith said that he is keen to have Corden back for a third adventure.
"We'd love him to [return], but he's pretty busy being a Tony award-winning actor on Broadway and having a baby. But we'd love to get James back," Smith joked.
The actor also previewed Doctor Who's series opener 'Asylum of the Daleks', which sees the Tardis crew come up against several variations of his oldest foes.
"[It's] wonderful, because I got to meet my favourite Daleks, which are actually from [Patrick] Troughton's era, I think," he revealed. "They're the sort of pale blue and whitey ones. They're a bit smaller actually. I think they're groovy! I mean, we've got every Dalek that exists in the world."
He added of the Daleks: "I mean, they are frightening. But you can't help but go, 'God, there's 20 Daleks in a room moving around me!'"
Last week, Smith touted The Doctor's new companion (Jenna-Louise Coleman) by hinting that she is "different" from Amy Pond (Karen Gillan).
Doctor Who will return to BBC One in August in the UK and will also air in the US on BBC America.
Watch a trailer for the next series of Doctor Who below: