They are a good outfit, but it remains to be seen whether or not they can go on to be a great team.
The same goes for Neil Lennon, too. He has shown that he is a good manager, but can he go on to be a great manager?
One of the best ways to achieve that is by ensuring that you keep the nucleus of your side together and build on what you have achieved.
Celtic have looked to do that by refreshing the contracts of some of their key players, with Adam Matthews, Charlie Mulgrew and James Forrest all agreeing to new deals with the club.
Lennon should be complimented on recommending that happen, while Peter Lawwell should be commended for ensuring that it did happen.
Basically, Celtic is a happy place to be at the minute and players are content to sign new deals to stay.
They are able to pick and choose what bids they accept or they may well have a player who comes in and decides he wants to go south to play and that is fair enough.
At the minute, though, Lennon is able to retain his squad and tweak it here and there.
The big ones for me now would be Victor Wanyama and Gary Hooper.
Wanyama is on a long-term deal, but he is a guy that could attract attention, especially if he plays well in the Champions League.
The same goes for Hooper, too. I think he has a little way to go before he is genuinely ready to make it into the England set-up, but if he maintains the form that he showed in Russia then he will make a few people sit up and take notice.