The man who so far has recruited only Craig Gordon on a free transfer, wants either players who are good enough to step straight into his side, or potential that will be worth waiting for.
He accepts, however, that most clubs are not yet ready to do business. And, in the natural order of things, the biggest clubs get first pick on players.
Not that Deila is under any illusions he is shopping in the same market as the real big hitters.
He accepts the budget he has, and would hope it would be bolstered if Fraser Forster or Virgil van Dijk are sold.
Deila is already looking for fresh faces, but warned: "The players who are here now are the ones who are going to get us through [the Champions League qualifiers].
"Then maybe we are going to get one, two or three players in. But good players are here now, so there is no revolution going to happen here.
"I'm after quality, and that's very hard now when the other clubs are not even started after their vacation.
"You have to be Manchester City, who can just buy who they need to have. The biggest get their food first, then the others come after them. So, that's the challenge we have.
"But the longer the transfer window goes, the bigger the opportunities get as clubs come under pressure."