The Cloud Atlas actor claimed that Renee Zellweger, Colin Firth and himself have not signed up to the sequel, as screenplay drafts are failing to "hit the bullseye".
"I did like playing Daniel Cleaver, but there is no definite part three," he told Total Film. "None of the three of us have signed up yet.
"There's been a number of drafts that have had great things in them but haven't quite hit the bullseye.
"But they're working on it again now with yet another writer, as soon as they get to a good point we will do it, I'm sure. It's just that it does have to be significantly reinvented."
The movie, tentatively titled Bridget Jones's Baby, was delayed due to script issues earlier this month and will now start shooting later this year.
Other sources, however, have claimed that the project is "basically dead".
Bridget Jones's Baby previously suffered delays when Bridesmaids director Paul Feig quit production last October.
Watch the trailer for Bridget Jones Diary: The Edge Of Reason below: