The 24-year-old has failed to make an impact at Molineux since he signed for the club in January 2011, and O'Driscoll has admitted that he would be interested in signing the former Liverpool trainee.
O'Driscoll told the Nottingham Evening Post: "He is available. He has been put on the transfer list. Everyone in the Championship knows he is available.
"We know that there is a transfer fee and there are wages, but is as far as it has gone."
Hammill has scored one goal in 17 appearances during his 19-month spell at Molineux.