"They have offered a bigger wage deal, and asked about his filming availability to his reps in 2017, but as yet they have not spoken to Daniel," the source said.
"They want Bond out in October 2018, but currently they have no Bond, film dates or knowledge of when that will change.
"Daniel's commitment is also a key part of whether Sony Pictures will come in to co-finance the film. So much is hanging in the air - and no-one knows."
Earlier this year, Craig backtracked on his controversial anti-Bond statements, saying that it was "the best job in the world" and he would "keep doing it as long as I still get a kick out of it".
The actor is currently working on Broadway, starring in Othello. Reports stated the star was offered some US$205m to return to the Bond franchise.