Villa's brilliant form recently has led to most observers deeming them to be safe from relegation, but Sherwood believes that they cannot switch off.
The 46-year-old says that the Claret and Blues still need two more wins before they can feel assured of their status as a top-flight club and he is determined not to allow his team to relent between now and the end of the season.
"The league form has been alright [since his arrival as boss]," he said. "It's just teams at the bottom keep on winning. You're not getting away from anyone.
"We need a couple of wins to be sure there. We have got a lot of hard work to do in the Premier League."
Sherwood is right to be operating with caution, but Villa do appear to have too much momentum to go down at the moment.
The Midlands outfit are currently four points above the drop zone and, although it is a healthy gap, it is not one which they can feel entirely comfortable with.
That said, if Villa continue to perform to their current standards they should be fine. Sherwood's men have shown the quality in their squad over recent weeks and victories against Tottenham Hotspur and Liverpool have highlighted their attacking threat.
With a number of winnable games to come, Sherwood will be wanting to get the two victories he has targeted as soon as possible, so the side can relax and look forward to their upcoming FA Cup final against Arsenal.