Lyndon Gooch's long-range dipping effort caused Fleetwood keeper Chris Maxwell to make a fingertip save.
Amari'i Bell fired into the side-netting for the hosts, while Richard Chaplow scuffed a chance for Rovers.
Jimmy Ryan's 25-yard effort almost won the game for the hosts but the ball struck the crossbar.
Fleetwood Town dropped into the League One relegation places as they had to settle for a point after a stalemate with Doncaster.