So far, there have been six seasons of the show commissioned by US network Starz and with the growing popularity of the time travelling drama, it looks likely to be continuing for some time to come.
Therefore, if Heughan does get the part, he will have to balance his work on Outlander with Bond which could see conflicting schedules.
According to Oddschecker, Heughan has odds of 4/1 from Sky Bet and 6/1 from Betfair and 9/2 from Betway.
But in first place is The Night Manager’s Tom Hiddleston at 6/1 from Paddy Power and 7/2 from Unibet.
Another contender is McMafia actor James Norton at 7/4 from Betfred and Sport Nation.
Outlander seasons 1 to 5 are streaming on Amazon Prime Video now