Nigel Clough says it is imperative United take maximum points from the next two home matches, to keep the pressure on the teams above them in Sky Bet League One.
The Blades boss insists the fight for a top two finish must go on, despite Saturday's frustrating draw with Crawley Town at the Broadfield Stadium.
"Our aim is to take it right down to the wire," Clough remarked. "To try and make sure everything is still up-for-grabs on the final day."
"Every year someone comes racing through. Look at Norwich City in the Championship who only a few weeks ago were being written-off but now are on the cusp of the top two.
"Six points from the next six. That's what we are going to try and do or keep the unbeaten run going at the very least."
Looking forward to the next challenge, Tuesday's clash with Peterborough United, the Gaffer added:
"Peterborough are a good club, that are normally there or thereabouts in this division, but for whatever reason it hasn't quite happened for them this season, losing Britt Assombalonga was always going to be a blow to their chances.
"That is probably why they felt they needed to make a change, but Darren (Ferguson) has done a terrific job at London Road in recent years and we have always enjoyed a good chat with him and his staff after the game.
"But it won't be an easy game, they had a good result at the weekend against Bradford City and that emphasises that on their day Peterborough remain a dangerous side to face."