The Grosvenor Café will show all matches live on the giant screen with sound.
Lee said: “The club is growing all the time and all the players can feel the supporter base is getting bigger.
“It’s great to have the Grosvenor Café as a supporter’s hub, as it’s so close to the ground and is in one of the most iconic places in the city.”
Also at the café, rugby fans will be able to watch matches from the RWC 2015.
Jenna Main, area sales and marketing manager at G1, said: “In a previous incarnation, The Loft was the undisputed home of sport in the west end.
“Today, the team at the Grosvenor Café are delighted to once again cement their position by becoming an official partner of Glasgow Warriors.
“Having invested significantly in Sky and BT Sport, we will be showing the very best football and rugby fixtures including all the Warriors action, live on our giant screen. With exclusive discounts available to season ticket members, we can’t wait to welcome the fans back to Ashton Lane.”