The Railwaymen host Danny Wilson's side, who have won five of their last seven matches in League One, on Tuesday evening.
The teams drew 3-3 at Bramall Lane earlier in the season and Davis believes that the same attacking principles will be on show at Gresty Road.
He told The Sentinel: "It was a fantastic game to watch last time we met with two good teams having a go.
"We came from two down and I thought we were going to win it when we had them panicking. They managed to get the equaliser but it was a great night.
"We took a lot from that performance and hopefully we can get another game similar to that at Crewe."
Crewe are currently 14th in League One.