The Villains sit five points clear of the relegation zone in the table, having earned a 0-0 draw at home to Southampton this afternoon, and the Scot believes that one more win will preserve his side's top-flight status.
"To play the way we did in the second half, against a good Southampton side, I cannot fault the effort," he told BBC Sport. "The lads deserve enormous credit and with their energy and desire I couldn't be prouder.
"Our goal difference is pretty good, so we'll probably need one more win [to be safe from relegation]."
Villa conclude their 2013-14 campaign with away visits to Swansea City and Tottenham Hotspur respectively, either side of hosting Hull City at Villa Park.