Rovers were able to turn their season around after propping up the table last Christmas, while Darren Ferguson's side have won only one of their 12 league games so far. Both sides, who clash at the Keepmoat Stadium on Tuesday night, had enjoyed a rapid ascent into the second tier of English football.
O'Driscoll said: "They've done very well over the past couple of seasons. They have sort of walked through two divisions and come up into the Championship.
"They're now on a learning curve, as we were last season, but if they stick to their principles, which they have done so far, alter one or two things and learn quickly then I think they will be fine.
"You can't score as many goals as they have scored and then suddenly dry up, but they'll come up against some sides, like we did, who are used to dealing with pressure.
"You can sympathise with them at this minute in time because we have been in that situation as well. But they have a goal threat and they will never lose that."