O'Driscoll's side bagged Forest their first win at Molineux in 30 years as efforts from Billy Sharp and former Wolves star Adlene Guedioura saw them through.
But eight members of O'Driscoll's family are Wolves season-ticket holders, and he said afterwards: "They want the Wolves to do well so I think they would have settled for a draw.
"We will have to wait and see. We have got a game on Tuesday so I am not even staying down. It might be the best thing for me to do to get out quick!
"In the first half it was end to end and it could have been any score. We had a discussion at half-time about changing things. They wanted to keep going as we were but as the manager you think we can't be that open.
"So we changed things a bit which stemmed their flow. But we are still a threat on the break and that proved to be the case. We are a team who can score but we can also concede so we want to keep the one and negate the other. We are a work in progress.
"First and foremost in this division you have to be hard to beat. That is the crux of everything."