The 28-year old gloveman comes out of contract at the end of the season and Forest are hoping to tie him up with O'Driscoll admitting that negotiations are ongoing with the former Derby County and QPR man.
"I think there are talks ongoing with one or two, but you do not try to discuss contracts with four or five players at once," O'Driscoll told the Nottingham Evening Post.
"We are trying to take things one at a time. Where Lee stands in that process, I am not sure.
"I believe he was offered a new contract some time ago. But it is a game of bluff, contract negotiations.
"You offer something, they reject it and, ultimately, you end up somewhere where you could have been very quickly, if you did not have to play the game."