Richard Marshall scored the goal of the game to ensure Doncaster could never take it easy in their 3-1 FA Cup win over minnows Bradford Park Avenue.
The 27-year-old midfielder curled home a superb shot from just outside the penalty area in the 56th minute to put the Conference North team back in the match after they had trailed 2-0 at half time to goals from Martin Woods and Iain Hume.
Substitute Chris Brown wrapped up the tie for Rovers when he headed home in the 76th minute but the non-league side went down battling.
Boss John Deacey said "I thought we tried to play the right way and I couldn't have asked for more from my players in terms of effort.
"Richard Marshall scored a great goal to put us back in the match and , to be fair, it wasn't a rarity for him because he's hit a few like that before. But to do it against a really good side like Doncaster in a FA Cup tie is something a bit special.
"I suppose it was disappointing we couldn't kick on from there and level the scores but, let's be fair, we were playing a very good league side. Doncaster were in the Championship last season and are doing well this year and it was always going to be a big ask .
"But I thought we did well in the second half and came out and played some good football and acquitted ourselves with a lot of credit."
Doncaster boss Dean Saunders said: "I'm just relieved to get through it with no injuries because it was always going to be a potential banana skin. I knew it would be a difficult game because we had little to gain and everything to lose playing a non league side.
"I thought they did very well but it relaxed us a bit when we went two goals up although they went and scored with a brilliant effort worthy of the Premier League which left us one mistake away from an upset and a replay".
He added "I was glad we finished it off with the third goal but I thought they performed well and I think they will have a good season. We had a couple of players injured and lacked a bit of width but we got the job done and we just need to keep improving."