Villa face a massive six-pointer against Newcastle United next week.
"We have to realise what situation we are in," said Vlaar, who was back for their 2-2 draw with West Bromwich Albion.
"The fans always stand behind us and that is very important they do that until the end of the season in every game we play.
"I believe we can be out of the relegation zone.
"The way we played on Saturday, especially first half, should give us a lot of confidence.
"You really want to help and make it better. I really believe we can turn it around."