It was feared the 33-year-old would be leaving this summer and wouldn’t make it to ten years at Princes Park.
Midfielder Bradbrook hinted after their National League South play-off semi-final defeat that his time at the club could be coming to an end.
But in an interview with the Kent Messenger, there appears to be hope that he could sign a new deal.
New joint boss Adam Flanagan said: "We're still in discussions with Elliot. He had written playing off but we're slowly trying to convince him to come back.
"We're not sure in what remit at the moment, if he can fully commit, but we're speaking to him and that might be something that comes out later this week. We're optimistic.
"Elliot played a lot of games last year and people were saying his legs had gone a little bit but I felt that was unfair.
"We want to take a new approach with him, to manage him differently and I think that's spurred a little bit of interest.
"We're hopeful we can maybe get something done this week but we're not there yet.
"It's not definite that he's coming back but we're optimistic we can get to a place where both him and the club will be happy."