Firhill chief executive Alan Dick confirmed to the Evening Times that an approach had been made by Glasgow. He said: "It has been discussed by the board and given a favourable response.
"Glasgow Warriors want a bigger, better platform for their club and Firhill offers them the size of corporate hospitality facilities that they need as well.
"Obviously there are concerns over the pitch, so that's why there is a lot to talk about. We'll consider our fans as well."