Fry, 62, and Laurie, 60, met at Cambridge University in 1980 and former a comedy double act - starring in BBC sketch show 'A Bit of Fry & Laurie' before it ended 25 years ago.
Laurie told Steve Wright on BBC Radio 2: "Actually we talked about doing it on stage for a long time, so long in fact we passed the date we'd set for ourselves. We see each other a lot and we talk about it often."
He added: "I think it might happen, yes, but I don't know why we're both being sort of coy about it - 'No after you, no after you' - I don't know why we do that.
"Somebody's got to take charge, I think, and say, 'I've booked us in, we're doing this. We've got a month to get ready.'"
Fry and Laurie reunited in 2010 for a special programme on TV channel Gold to mark the 30th anniversary of their double act.
They also starred in ITV series Jeeves and Wooster based on the characters created by PG Wodehouse of a fun-loving bachelor and his devoted butler between 1990 and 1993, and also appeared together in comedy series Blackadder.
Laurie is currently starring in director Armando Iannucci’s film adaptation of Charles Dickens' novel David Copperfield, and HBO sci-fi TV series Avenue 5.
Former QI host and novelist Fry most recently appeared in the new series of Doctor Who.