The two clubs are set to meet on Wednesday but officials may not give clearance for the game to go ahead.
The second leg is due to be played at the country’s national ground - the Tofiq Bahramov Stadium - on Wednesday but media reports suggest over 30% of the pitch is unplayable while the surface is uneven in some areas.
A Celtic spokesperson last night commented on the situation, saying:
“We are aware of the issue as regards the pitch in Baku. At the moment, we are seeking reassurances over the quality of the surface.”
The Hoops will be desperate for the match to go ahead so as to avoid any early season fixture pile-up that could potentially arise with a rearranged game.
Celtic take a narrow advantage on their long trip to the former Soviet state, after a late Dedryck Boyata goal sealed a one-nil win at Parkhead last week, and will be confident of progression despite the tricky conditions.
The Scottish Champions largely dominated proceedings in the first leg and should have scored sooner. Despite Qarabag’s counter-attacking threat, Celtic avoided conceding an away goal and will back themselves to score in Azerbaijan.