Danny Wilson is keen to see United in the hat for Sunday's FA Cup fourth round draw.
The Blades travel to in-form League Two outfit Oxford United at the weekend and Wilson has warned a passage into the next round won't come easy at the Kassam Stadium.
Speaking at his weekly press conference, the Gaffer said: "Oxford are on a good run - I watched them beat Accrington in their second round replay and they were very impressive. They are the home side, on a very good run and they will be full of confidence.
"They are a big club and it is a very exciting tie from their perspective. I am sure there will be a big crowd at the Kassam Stadium and plenty of their fans will fancy the chances of causing an upset.
"I bet quite a few people have a few quid on Oxford because it is a potential banana skin for us and we are determined not to have egg on our face come Saturday night."
Of the U's recent turnaround, Wilson added: "Oxford have tightened up defensively in recent weeks and although they will be missing striker James Constable, who is a real presence, I am sure they will be hoping to continue their good form in front of goal."
Wilson concluded by insisting his players are solely focused on progression to the next round:
"From our perspective it is a winnable tie and we must go there with a positive attitude and mindset.
"I am sure that if we put in a good performance we will have a good chance of progressing to the fourth round and that is our aim."