Commons had another go from range shortly afterwards and once again caused problems with a decent strike, but this time Stefan Logi Magnusson was able to make the save.
Celtic almost grabbed the elusive opener just three minutes after the restart when Leigh Griffiths teed up Commons, but this time the prolific midfielder fired his shot wide.
Commons continued to look most likely for the visitors and came close twice in quick succession as he first missed the target before then drawing a save from Magnusson.
The Bhoys were left cursing their luck once more shortly after the hour mark when Griffiths's effort smashed off the underside of the crossbar before bouncing down and out.
They had an even better chance in the 77th minute as Magnusson parried a Commons effort into the path of Teemu Pukki but, with an open goal to aim at, the sub somehow struck the post.
Having hit the woodwork three times, Deila's side finally got the breakthrough with six minutes of normal time remaining as Callum McGregor beat a couple of defenders before drilling a low strike past Magnusson for a goal on his competitive debut for the club.
That was enough for the Bhoys to claim the victory, putting them in the driving seat ahead of the second leg next week.