The Hoops boss dreams of making it to the Group Stage of the Champions League, and having a clean sweep of the trophies in Scotland.
But, longer term, Deila wants to lay down a legacy which will make Celtic successful for years to come, no matter which star players come and go.
He acknowledges making it past Legia Warsaw into the play-offs for the Champions League, then booking their place in the Group Stage, will make attracting the calibre of player he wants much easier.
But, even with another £20million payday from Uefa, Deila accepts he will not be able to splash out on £6m signings in his bid to realise his burning ambition to see the Hoops control a big match against one of Europe's elite - perhaps even Barcelona.
The salaries on offer elsewhere simply make it impossible for Celtic to target such players.
However, what funds Deila does have available he would rather invest in a couple of proven stars than spread it thinly among projects or punts.
He explained: "I would rather have two very good players than five average because if you buy one really good player, then the others know where the level is.
"So they can say, 'I want to get up there'.
"It is much easier if that is possible (buying big), but I don't think we have the £6m right now."
Deila underlined the other major obstacle to aiming for the stars.
"We're not even close to the salaries they are paying in England," he conceded. "So it has to be players who want to play for Celtic."
Nancy's Haitian midfielder, Jeff Louis, could be the next to get the offer to move to Parkhead, his £1.7m transfer fee within the range of the Hoops.
Deila would not be drawn on specific targets, but said: "I don't know if we'll sign anyone in the next week but I think we will get closer if we get through to the next round of the qualifiers. I'd hope we would then be stronger going into the play-offs.
"I know this season can be fantastic if we beat Legia and go on to reach the Champions League.
"This is a very important game, and I think we have reason to be confident."
Wherever the future takes Deila's Celtic, it will be without Tony Watt, who couldn't show the commitment the new manager demanded.
The Norwegian hopes the 20 year-old's £1.2m move to Standard Liege will allow him to reflect, and find a better path.
He said: "Tony knows that to develop you have to train 100% every day. You have to be prepared every day. You have to sacrifice everything to improve.
"He took a few small steps, but has still a lot to work on.
"Tony has a big talent, but he also has a history at Celtic which makes it harder for him to come through than I think it will be in Belgium.
"He has the chance to start all over and try to take with him some of the things that we have talked about.
"Maybe one day he can come back to Celtic and be the star he wants to be."