It'll mark the end of an era as Graeme has been part of the Scottish pro rugby scene since the first batch of players were signed up in 1996.
In Thursday's Herald Graeme talks about the numerous changes in the pro set-up - four districts, two superteams, then a third side being reintroduced in the Borders, before being scrapped again recently.
Graeme will join up Guinness Premiership club Bristol next season but he sees good things ahead for Glasgow: "I am very sad to be leaving when it is going so well and some of the young guys are really coming through. I hope they have realised what it takes because the future looks really bright, particularly if they can get a regular home, which I know the SRU are working very hard on."
Bevvy admits there will be some emotion on this final Hughenden home appearance for now as the Ospreys visit. "I suppose that is inevitable, but all that is for after the match. Al Kellock tried to get me to lead out the team on my 150th appearance against Edinburgh, but I wasn't for that and I won't be doing that this time either.
"You can do all that stuff then fall flat on your face, so hopefully we can put in a performance that will ensure everyone is in the mood to enjoy themselves afterwards."