The Villans are just three points clear of the drop zone, but have won three of their last five matches in the league.
The manager told the club's website: "That we have remained so vibrant and assertive into the second half of the season, and now into the latter stages, is in no small measure down to the fans.
"There's a bond there which has only grown closer and intimate over the course of a campaign in which there is still important business to do and achieve before we can look too far forward into the future.
"We want to keep building on the foundations we've now laid down. Everything is in our own hands and we've enhanced our position over recent weeks. The fans have been fantastic, right behind us the whole way."
Villa face Manchester United at Old Trafford on Saturday.