Richie Barker insisted Crawley have never "given up hope" of forcing their way into the play-offs following their 2-0 win over Coventry.
The Red Devils closed the gap on the top six to four points with three games to go after goals from Billy Clarke and Connor Essam gave them maximum points on a heavy pitch at the Broadfield Stadium.
Crawley have followed up a goalless draw at MK Dons with 2-0 wins over Sheffield United and Coventry, and Barker believes this speaks volumes of their development in their first season in League One.
He said: "It's been long odds since the first day of the season, but we're still in there with a chance. It speaks volumes for the players.
"It's still going to be tough for us, but we've never given up hope.
"Every result has gone our way, but it's going to be extremely difficult for us because we've got to win all three of our remaining games.
Barker added: "To get seven points from our last three games and three clean sheets has been excellent.
"Two weeks ago I said I didn't want the season to fizzle out and to respond with back-to-back wins is tremendous."
Barker felt referee Rob Lewis was correct in allowing the game to finish despite the condition of the pitch with water lying in parts of it.
He said: "I thought he (the referee) was fairly sensible. Once you get that far into a game, 65 minutes, to play on is sensible.
"At 2-0 up, of course I'm going to say we should be finishing the game."