Twenty Glasgow players are isolating after a Covid-19 outbreak at Exeter, who beat Warriors 42-0 last weekend.
All sides in the tournament agreed to forfeit matches if fixtures could not be fulfilled because of coronavirus.
European Professional Club Rugby said of the postponed matches: "EPRC would like to emphasise that blame was not considered as a factor during the deliberations, and the committee's decisions were made with a view to facilitating the completion of this season's Heineken Champions Cup in unprecedented circumstances."
After that defeat by Exeter, four Warriors players subsequently returned positive tests, meaning their match with Edinburgh is postponed.
Glasgow are also awaiting the results of further tests.