Only four points separate the top seven clubs, with the Blades currently lying in second place, one point behind leaders Doncaster and one better off than third-place Tranmere.
"The fact that there have been three leaders of the division in the space of a week suggests things will continue to change at the top," Wilson told a press conference ahead of Saturday's game at Oldham.
"Our aim remains to stay in the shake-up and, obviously, we want to keep our heads above our rivals if possible.
"I think it could all go down to the wire and we have to make sure we are ready to fight all the way to the end.
"On Tuesday only Doncaster won in the top six; this weekend everyone could go and win - that's how things seem to go in this league.
"It's a funny situation that develops in a football season. When things look to be plain sailing you drop points and all of a sudden you're in the pack again."
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