This is much lower than the thousands of fans who turn out to watch women's teams on the continent battle it out.
Their home ground for the past five years, Petershill Park, has a capacity of 1200, and the club has only filled it once, when they played Icelandic side Valur Reykjavik in their first Champions League match in 2011.
Club manager Laura Montgomery said there is a stigma attached to women's football which results in a lack of high profile coverage for the sport.
She said: "There are still an awful lot of people who have a very negative opinion of women's football, and sadly it is a malformed opinion.
"I am not saying every single game is fantastic.
"It is a sport. You get good games and you get bad games, but I do think a lot of people that have these opinions on the game have never been to watch Glasgow City or the national team play.
"If you have seen it many times and you don't like it, then fine, no-one is asking anybody to like every sport.
"But I think there is a stigma attached to certain gender roles within our country and a lot of people find it very uncomfortable when they are asked to move away from that."
A couple of years ago Laura visited Frankfurt on holiday and attended a match between the home team and Potsdam - two of the best sides in Germany.
She said around 7000 people attended that game, and when the country's national team plays, it can draw crowds of more than 40,000 - as they did for the UEFA Women's Euro 2013 final against Norway.
Only 1061 fans attended Scotland's last match - against Bosnia-Herzegovina at Fir Park, in Motherwell, and a vital qualifier for the FIFA Women's World Cup in Canada in 2015. The home team maintained their place at the top of Group 4 with a 7-0 win.
Laura explained: "The main difference in other countries, particularly Germany, is that women's football doesn't have that stigma, or if there is a stigma attached to it, it certainly isn't seen.
"If you are travelling through Frankfurt you will see pictures of the women's Frankfurt team on the side of the subway, or the trams.
"I think that is because women's football is embraced and it is covered a lot more in the media.
"It is much higher profile and they are very successful at it because, it is obvious, if women's football is on TV, if it is the papers, then young girls have role models to aspire to take up the sport.
"The more people that take up the sport, the more successful you are. It just becomes a snowball effect."
This week's match against Standard Liege is the most important game of the season for the club, which has already won the SWPL Championship Trophy, the Premier League Cup and is through to the Scottish Cup final.
With the score standing at 2-2 following the first leg, Glasgow need only to win, or draw 0-0 or 1-1, to progress to the final 16 in the UEFA Women's Champions League. A 2-2 draw would send the tie to extra time.
Laura says the club is hopeful that the stadium will be packed out, and this time, the crowd will be on their side. She said: "In Belgium it was fantastic. From our point of view it was negative towards us - when we scored it was deathly silence - but for the home team it makes such a difference when you have got so many people behind you, singing songs and banging drums.
"The atmosphere for the home team was brilliant and you can tell that it encouraged them and it enhanced their game.
"They are a very good side and we have seen how talented they are and they are particularly impressive going forward.
"Hopefully, the away goals will help us and I do believe we can get the result we need."
Maureen McGonigle, executive administrator for Scottish Women's Football, said, since London 2012, and the success of sportswomen on the national stage, the profile of women's football is on the rise.
She said: "Since 2012 people are much more aware of the standard that women participate at in all sports and the media has a role to play here.
"I think we are heading in the right direction, we still have a few hurdles, but we are getting there.
"There has been a change in attitudes and there is more investment in women's football."
Glasgow City's home match against Standard Liege at Petershill Park kicks off at 7pm.
Tickets are available from Greaves Sports retail outlets in Glasgow City centre and at www.glasgowcityladiesfc.co.uk