Interim manager Martin O'Neill joked that Celtic's past two victories, in which they scored winners in injury time, are "not great" for his health as he praised his players for digging out a vital three points.
At one stage, his side were 2-0 down to a struggling Kilmarnock side but came back to win it thanks to Julian Araujo's late winner.
"You can throw all the usual accolades around, but the players deserve them today because even at half-time, when we were so poor, there was still that feeling that we could turn it around if we could get a relatively early goal in the second half, and that's what happened," O'Neill said after the match.
"Obviously, it's unbelievably satisfying to win, and to win in the manner in which we did at the end was terrific.
"If that's the way you have to win the games, though, if you have to win them like that, you just can't keep doing that."
It's the second time in the space of a week that Celtic have struck late, after Alex Oxlade-Chamberlain scored on his debut in the 91st minute to find victory over bottom side Livingston.
"It's both worrying me and, well, it's not great for my health. It's really draining, honestly," the 73-year-old said.
"Some of these lads, my coaching staff, I look around, they're much, much younger than me and I think they can take the strain, but not for me."
The interim boss also confirmed that Arne Engels is set to miss about six weeks with an injury.
The young Belgian midfielder was courted intensely by Nottingham Forest on the final day of the transfer window but Celtic rejected three bids for him.
"It's his thigh and it's a big loss for us, absolutely," O'Neill said.