Hartlepool are now four points clear of the relegation zone after ending their five-match losing streak with the 4-2 victory.
Collins scored his first goal of the season in the win and believes Crewe will provide a tough test.
He told the Hartlepool Mail: "It will be just as edgy at Crewe. But hopefully that win can give us a bit of confidence.
"We thought if we could get a win, we could get a gap and some of the results went for us which is a bonus.
"We've got a pretty good idea of what will be enough to get safe and the quicker we get there the better."