Craig may have one more James Bond film to go, but all eyes are on who his replacement could be.
And now, rather suddenly, Hiddleston is odds-on to take up the Licence to Kill after him.
The 37-year-old has seen his odds of 8-1 slashed to 4-5, overtaking favourites Elba and Hardy.
A Ladbrokes spokesperson said: “It’s looking increasingly likely the name will be Hiddleston; Tom Hiddleston.”
He’s also set to return as Loki, in scenes set during the first Avengers movie judging by set photos, in Avengers 4 next year.
But other than that his acting slate is looking pretty clear, although he will have a few years to wait before he can audition for Bond.
After all, Bond 25 is not set for release until Valentine’s Day 2020, so it’s unlikely we’ll see a new Bond announced until at least 2022.
Meanwhile, other next 007 actor favourites have seen their odds slip.
Elba and Hardy are currently 5-1, while Aidan Turner and James Norton are 10-1.
Behind them are Henry Cavill and Orlando Bloom at 12-1.
Strangely the choice of any female remains 12-1, despite Bond producer Barbara Broccoli confirming that 007 will remain a man.
Bond 25 hits cinemas on February 14, 2020.