It was the first clean sheet in six league games for the struggling home side, who produced a much-improved performance.
The visitors did most of the attacking in a fast-paced game but Rovers defended resolutely with new loan signing Andy Butler a key influence at centre-back.
Darren Potter set the pattern of the game when he had a shot well-saved by home goalkeeper Jed Steer in the 10th minute and the visitors went on to edge the first half.
Ben Reeves fired just over the crossbar and Dean Lewington had a fierce effort saved, while Butler was only inches away from marking his debut with a goal at the other end in the 20th minute.
The second half was more even with Doncaster pair Harry Forrester and Paul Keegan having shots saved in quick succession, while Will Grigg hit the post for Dons and substitute Benik Afobe had a lob shot cleared off the goalline by Butler.
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