Widespread reports within the national press indicated O'Driscoll had accepted the Blades job after talks with the club, but with nothing yet to materialise, O'Driscoll was quick to deny the claims.
"I am not part of the process of Sheffield United appointing a new manager," he told Rovers` official website.
"All the speculation that has surrounded this over the past week is extremely unhelpful and disruptive to the players and staff at both football clubs and is very unwelcome."
Earlier, Doncaster chairman John Ryan was confident O'Driscoll would stay at the club.
"He has had some talks with Sheffield United, but I'm confident he will stay with us. He has the opportunity to do well with us and we are only a few points off the play-offs. We gave him his break and I know Sean respects us for that," Ryan told Sky Sports News.
Source: PA
Source: PA