The Blades meet fellow relegation candidates Burnley on Saturday.
Wilder said: "That is our aim and that is the feeling (to stay up). That is what I feel regarding the group and the football club, as well.
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"Last weekend, (it was) 0-0 at half-time against a good team that is established in the Premier League. We had a fantastic vocal backing and it felt like a home game for us. They (the fans) are seeing it and I am seeing it.
"We want to take it down to the wire and we understand the importance of the game. I am not looking ahead, all full focus is on Saturday. That comes off the back of me managing over 1,000 games. We are in a decent place in terms of the feeling of it all."