New signing Aleksandar Tonev, a Bulgarian midfielder on loan from Aston Villa, was not on the bench in the Highland capital, while progress over Wakaso Mubarak's move to Parkhead is slow.
Deila made the call to switch 10 players following the midweek performance against Maribor, in a bid to keep players fresh for the return leg in Glasgow on Tuesday.
When asked whether any new faces would be joining the squad imminently, Deila was coy on the club's transfer dealings.
"There is still a lot of paperwork to do with Mubarak," he said. "But it is very early to talk about that (other transfers) and we have to assess all the team and see what we need.
"There will be no players coming in that can affect the game on Tuesday."
Deila added that Serbian striker Stefan Scepovic was just one of the players that he had been looking at.
The Celtic frontline drew a blank against a stubborn Caley Thistle defence, with Deila replacing Teemu Pukki at half-time and substituting Leigh Griffiths with 20 minutes to go.
The manager believes a lack of game time may have affected their sharpness in front of goal, explaining. "You have to think about these things and if you don't play then you are going to lose your fitness. It's important to see where people stand."
Meanwhile, Inverness manager John Hughes felt his side probably scored too early to make things comfortable for themselves.
The hosts netted on 65 minutes, leaving a substantial period left in the game for the Bhoys to find an equaliser.
"You need to score against Celtic in the 85th minute because for the last 20 minutes or so it was like the Alamo," he said.
"But we closed up and didn't let them back through. Guys like Gary Warren, Josh Meekings and Ross Draper wanted to get their head on the ball.
"Nick Ross went to place his shot late on when he should have hit it with his laces, but I was delighted with the three points."