The Norwegian is a big fan of one of the Bhoys' current squad members.
Indeed, the Bhoys head coach says the Scottish champions won't be drawn into any big-money signings and that any new recruits must want to show a strong desire to join Celtic.
And that desire could take them as far as taking a paycut to do so - just as Cole did.
Deila is quoted as saying by the Express: "It’s tough and you must never say never but it’s a different planet when you talk salaries.
"It has to be players who want to come to Glasgow and play for Celtic - like Carlton Cole. He went down a lot in salary."
Interestingly, the Celtic boss's comments can be interpreted in two ways. Some could argue he is representing the Scottish champions well, suggesting no player is above the club and that any new recruit must show a certain level of commitment to the Hoops.
Or... some fans might think Deila is peddling a very modern Celtic line: that the club simply won't spend big or look to sign big names - and that saving money is the Bhoys' biggest priority.
Celtic host Partick Thistle on Saturday afternoon and are level on points with Aberdeen going into the Scottish Premiership clash. Deila's men do have two games in hand over the Dons, however.