When the two teams met in a pre-season match last year it was the Scottish side that came out on top, 16-15, and this year's match will give one side bragging rights ahead of their Heineken Cup Pool clashes.
"We are pleased to have such high quality opposition as part of our pre-season programme and a first hit out against Leinsteris a great opportunity to get the squad fired up and back out on a rugby pitch," said Wasps director of rugby Tony Hanks..
"Glasgow proved tough opponents in last year's pre-season clash and I think that game was the most beneficial to us in terms of preparation for the season. Just like Leinster, they enjoyed a very strong season in the Magners League and we hope our supporters will get back to Adams Park and enjoy some highly competitive rugby.
"The fact we face Glasgowin the Heineken Cup this year will also add another dimension to this game."