There is, of course, a chance two or three of his current team might move on at the end of the season, with the English Premier League the likely destination for some which should come as no surprise considering the level of speculation surrounding many of them in recent weeks and months.
Will Fraser Forster head south to try and help his case of either remaining in the England squad or even pushing for that first cap?
Has Gary Hooper decided he now fancies a fresh challenge and a crack at the English top flight and the same could be asked of Victor Wanyama?
Unfortunately, that is the down side of being successful. As a manager, the better your team performs the more the chances of losing some of your players increase.
It's pretty much the case for every manager in world football.
But I doubt Neil will be caught cold by this and it wouldn't surprise me in the slightest if he has already earmarked specific players to come in during the summer.
Once again, I'm sure John Park will be doing his bit to try and unearth a couple of unknown gems.
Also, the club banked quite a bit of money from the Champions League run so hopefully some of that could be invested in bringing in one or two new players.
Right now, Celtic have a big squad with competition all over the park so what positions need strengthened are likely to depend on what players leave.
Wolves' Kevin Doyle, who has once again been linked with a move to the club, would be an interesting option.
He can score goals, has plenty of pace and has played at a good level.