Captain Callum McGregor says Celtic "can't keep chasing the game to 95 minutes" after the defending champions lost at home to Hibernian on Sunday.
Celtic had relied on late goals in recent league wins over Livingston and Kilmarnock but were the ones conceding in the latter stages as Hibs triumphed 2-1 in Glasgow.
"It's small details that are making the games more and more difficult for us," he said.
"Obviously, the last few weeks we have been getting away with it but you can't keep doing that, you can't keep chasing the game to 95 minutes. So, we have to find a way to make the game easier for ourselves."
Celtic are two points below Rangers and six off leaders Hearts but have a game in hand over both of the top two teams. Martin O'Neill's side also retain an interest in the Scottish Cup. Over the next two Sundays, Celtic will face Rangers at Ibrox in the league and cup.
"We have to try and salvage what is there, harness it, get the most out of it and get the most out of each other," added McGregor. "And the players are, they're working ever so hard.
"I said to them before the game, we have to give everyone something to get off their chairs about. Performances and wins will bring harmony back and that's the job of the players.
"We have to give them something to get behind. That's all they want, they want a football team that's fighting and running and trying to win games. And that's when this stadium and this club is at their best. So we have to try and give them that."