United are down in ninth place in the table, 13 points behind league leaders Arsenal.
They avoided suffering a third successive home defeat by beating Shakhtar Donetsk in the Champions League on Tuesday and Jones is hoping United can transfer their impressive league form to domestic matters - starting with Villa.
"It is massive. We need to put things right in the league and that starts on Sunday," said Jones, who scored the only goal of the game midweek.
"We need to get three points and go on a run. We have said it before but it is time we kicked on.
"We've had a disappointing couple of weeks but hopefully we can now start picking up some points.
"Villa are a tricky team but we have to go there and get three points.
"It is a results game, we know that and we've not picked up as many points as we would've liked and we have to start doing that.
"Players' confidence does go a little bit but we are professionals at the end of the day and we have to do the right job and deal with that. We are at Manchester United and there is pressure at every game."
Defender Jonny Evans felt there were signs against Shakhtar that showed they were still trying to do positive things and not take the safe option.
"We were a bit sloppy in the first half but, once the second half began, I felt that we started to stamp our authority on the game and we controlled the game more and looked to pass it a bit better," he said.
"We showed courage to play in the right areas and we showed courage on the ball.
"Players were keen to come and take the ball and I think it played a big part."