Of immediate concern to Neil Lennon in the aftermath of this three points taken from a spirited Partick Thistle side, however, was the injuries suffered to Georgios Samaras and Emilio Izaguirre.
The Greek forward was left needing stitches to a knee wound, while the Honduran full-back suffered a concussion after taking a Chistie Elliot shot flush on the side of the face.
It meant that Celtic saw out the final minutes of the game at Firhill with just 10 men - all three substitutes had been used by the time Samaras limped around the perimeter of the pitch with a swaddled knee - but by that time the visitors had their tails up and the points in the bag.
With injuries already a concern for the Hoop boss, the last thing he needs with a critical game looming in Amsterdam next week is further casualties clogging up the treatment room.
And while Celtic did take the win from Firhill yesterday afternoon on a boggy, heavy park, they did look tired and sluggish at times.
While their record this season suggests they have coped far easier with the dual demands of European and domestic challenges, being able to change things around to freshen the team up can be vital.
There were just two changes to the team which played against Thistle, Joe Ledley and Scott Brown replacing the injured duo of James Forrest and Charlie Mulgrew. Both are expected to return to training this week.
The return of Ledley, though, could be significant for Celtic.
The midfielder has not played since September because of a groin injury but he made a cameo appearance against Ajax last week before getting a full 90 minutes under his belt yesterday.
His lack of games showed at times with a few snatched shots and a couple of misplaced passes, but as one of Lennon's most trusted midfield players, his availability will be warmly welcomed - particularly if Uefa's disciplinary committee opt to hold up Scott Brown's Champions League ban.
the continued form of Beram Kayal will have satisfied Lennon. Celtic weren't firing on all cylinders against a Partick Thistle side who could well have held out for a share of the points, but the Israeli at times looked capable of opening up the Jags rearguard by picking out a clever pass.
Twice in the opening period it was the midfielder who set up Teemu Pukki only for the Finnish forward to fluff his lines. Had the chances been taken it might not have been quite such an anxious second period for Celtic.
As it was, Samaras' first-half header - which seemed far too easy for him to get on the end of - was cancelled out by Kris Doolan before Amido Balde came on to score the winner.
At just 22, Balde was bought with one eye on the future and his goal suggests that there is something about him that Celtic may well be able to cultivate.
He has struggled to adapt since arriving from Portugal this summer, but the casual way he gained possession before racing forward and calmly netting augers well.
"As the season progresses we will see more of Amido," said Lennon afterwards. "He's been very patient, he hasn't got frustrated, he's listened and he's tried to learn.
"You can see that he brings a different dimension to the team. We were on the back foot and when things get a bit physical he's a great option to have. I thought his goal was terrific.
"He has power, we don't really have that target man as such and we haven't had one for a while in that sort of mould.
"He's got great pace, on the counter-attack he's excellent and he's a decent finisher. He can improve a lot of aspects of his game and that's what we are working on.
"We have been delighted with his attitude since he came in the door."
This week gives Lennon the chance to both take a breather and take stock.
Dundee United are up this weekend before the Parkhead side fly out to Amsterdam for a game which could define their Champions League aspirations this season.
There isn't much Lennon will have learned from this win over a plucky Jags.
However, he will be crossing his fingers that by the time next week rolls around his injury issues have eased considerably, something that a free week should help with.