The kits, supplied by Castore, have noticeably been changing colour this season and are clinging to stars during games due to sweat.
The wet look from the perspiration is the result, with the home claret and blue shirts, in particular, retaining their sweat.
Villa's men's team have already reported the issue to the club and the club are demanding a swift resolution, according to the Telegraph.
Why does Aston Villa's kit look soaking wet?
Castore's designs appear to lack breathability which has led to a moisture build-up during games that has caused the 'wet look'.
A source told the Telegraph: "The players are having to play in soaking wet t-shirts and it is a problem that needs to be solved.
Read more on football
Messi attracts Zidane to Miami despite being injured as former rivals pose with Beckham
Pep Guardiola's support of Man City Women hailed by head coach Gareth Taylor
"It cannot go on all season. The players look like they've jumped in a swimming pool after about 10 minutes."
Villa's men's players have been forced to change their soaked shirts at half-time, with the perspiration problem particularly obvious during their 3-2 defeat to Legia Warsaw in the Europa Conference League.
The issue has not impacted replica shirts bought by fans but concerns have been raised by Villa's women team.
Carla Ward's side are due to wear the kit in their Women's Super League opener against Manchester United on Sunday.
Most read in Football
Brighton boss on Real Madrid radar, Newcastle stun Man City, Chelsea in Chilwell blow
De Zerbi on Real Madrid's shortlist to replace Ancelotti and has Brighton release clause
Carabao Cup fourth round draw in FULL: Man United take on Newcastle in final rematch
Liverpool fans all saying the same thing as Szoboszlai scores stunner against Leicester
BBC commentator Jacqui Oatley told Newsbeat: "Normally they'd absolutely relish those games and look forward to them. But they're actually dreading it because they're really conscious about how they're going to look in this wet, clingy kit - for obvious reasons.
"You can imagine, as a female athlete, you have plenty enough to think about just being the best you can be on the football field without thinking about getting sweaty and your kit clinging to you, both from a performance aspect as it is with the men but also from an aesthetic aspect."
"And, as we know, women are different specimens when it comes to our bodies and it can really affect us and how we perform if we're constantly thinking about how we look, or a top might be clinging to our breasts and also our body shapes.
"These are genuine issues for women which you would have thought somebody would have thought through before they released this kit.
"But it seems perhaps that wasn't the case, because they didn't think about it for the men so I'm quite sure they won't have thought about it for the women."