The Scotland international central midfielder is suffering from a knee injury and will sit out of the Group A clash at Celtic Park.
“Scott Brown will not play tomorrow but everything looks good for him to be ready after the national break,” Deila told Celtic’s official Twitter page.
“He is an important player but we have a lot of good players in this squad. We have Stefan and Nir and they have done well.
Croatian defender Jozo Simunovic is a doubt for the match against Molde, with Deila explaining: “We’re not sure if he’s ready. It was the last tackle he had a knock and had pain in his foot. It’s getting better every day and we have a hope for tomorrow."
The Celtic boss has also outlined what he expects from Norwegian side Molde on Thursday.
“I expect Molde to be the same as they were in Norway,” said the 40-year-old. “They have consistency in culture and style of play and will try to hurt us on breaks.
“It’s a special game because it’s an important game to win. It’s a big game but it was the same at the weekend.”
Celtic will head into Thursday’s game on the back of a 3-1 victory over Aberdeen at Celtic Park in Glasgow in the Scottish Premiership.
The Bhoys have won their last three competitive matches and are back in form.
Deila’s side will be looking to avenge themselves on Thursday, having lost to Molde 3-1 away from home in Norway last month.
Celtic should be considered favourites to win against against the Norwegian side, but an early goal for the visitors could make it tough for them.