The League One side are in the fifth round for the first time in their brief history but Robinson is more concerned about the effect the run to the last-16 has had on their league form.
The Dons have dropped to 12th place, 10 points adrift of the top six, and they have not won in the league in their last five games, a run dating back to New Year's Day.
"I would always treat the FA Cup with the respect it deserves, and we have done that. But this run has affected us in the league," Robinson said.
"I don't know why. I've spoken to other managers and I've asked them why it happens.
"You look at the four lower league clubs - Bradford in their cup run, Oldham, ourselves and Luton - and the only team that won a league game around the run was Oldham, and that was when they brought in three new players - and it was against us!
"Hopefully we can get back on track in the league but, when all is said and done, Saturday is a great game to be involved in and now it is here I don't want us to miss the opportunity.
"I think it is a great draw for us. It is a tie both clubs and managers will look to win. They will see it as a winnable tie and so will we.
"This club is breaking records and it will be a historic occasion for us all. It sounds weird to say it, but a place in the quarter-finals of the FA Cup is at stake. The FA Cup means everything to me, I love it. I've got a picture up on my wall in one of my rooms at home with my daughters holding the FA Cup.
"It means a lot to me that we can compete at this level and I'm looking forward to playing Barnsley.
"However, I would swap it all for a place in the automatic promotion spots. I've pictured Wembley. I've pictured the play-off final - that is when I want to be at Wembley."