Glasgow's three tries came from Jonny Morris, Callum Smyth and Richie Simpson, with skipper Ben Afshar converting Simpson's score.
Warriors were forced to make a late change to their already stretched bench when Enrique Pieretto dropped out through illness. Craig Miller of Ayrshire Bulls stepped in.
14 Aidan Cross
13 Ben Salmon
12 Duncan Munn
11 Logan Trotter
10 Richie Simpson
9 Ben Afshar (Captain)
1 Tom Banatvala
2 Angus Fraser
3 Callum Norrie
4 Ruaraidh Hart
5 Harris McLeod
6 Gregor Brown
7 Jonny Morris
8 Jack Mann
Substitutes
16 Fraser Allan
17 Callum Smyth
18 Craig Miller
19 Johnny Ventisei
20 James Imrie
21 Matthew Urwin
22 Kerr Yule
23 Kerr Johnston