Hogg has only managed two games since spending time on the sidelines with a hamstring injury, but would have hoped two first-half tries against Zebre would have been enough to see him named in the squad to take on their Irish rivals.
But while fellow British & Irish Lion Sean Maitland has been named on the wing, Hogg isn't even in the matchday squad.
"We pick what we think is the right team to win a game and reward players in form," Glasgow Warriors head coach Gregor Townsend told The Scotsman.
"Stuart knows he has probably not had enough rugby in that period [the last eight weeks]. We are in a great situation at full-back and Peter Murchie was outstanding against Edinburgh and very good when he came on at the weekend.
"Stuart has played well, but has not been able to have a full game with his back injury. That's one reason he has missed out."