Dennis Wise and Bassett accepted their share of the blame for Doncaster's winner from a free-kick.
Bassett said: "Dennis and I take some responsibility because we had seen Doncaster before and we ended up with one less player in the wall than we needed.
"Maybe we should have made it clearer to the players, but to be fair, Doncaster deserved to win the game. They had more shots on target and more efforts on goal than we did.
"They came out of the blocks very quickly and were definitely up for it. We recovered early in the second half but fell away and in the last part of the game I couldn't see us getting a goal.
"A few of our players were below par. We knew the second half of the season would be harder for us that the first. But we are still in sixth position and haven't given up chasing top spot."