The aftermath of that defeat saw manager Tony Mowbray and Kamara's fellow forward Marc-Antoine Fortune claim overhauling Rangers was still possible.
But Kamara reckons Celtic should put talk of winning the league to one side while the gap at the top continues to get wider rather than narrower.
"At the moment, it's not good to say, 'Yes you can win the title', because we're 10 points behind," the on-loan Fulham striker said.
"We just need to win, win, win and see what happens.
"The title at the moment, it's so hard.
"If we won on Tuesday, we'd be seven points behind."
Kamara, 29, believes Celtic were unlucky to lose at Rugby Park after they created and missed a host of chances for the umpteenth time this season.
And the new arrival is keen to help them make amends in Sunday's Active Nation Scottish Cup fifth-round tie at Dunfermline.
"The good thing is we have a game on Sunday and Wednesday," said Kamara, who admits the cup is now the club's most realistic chance of avoiding ending the season empty-handed.
"This is the target," he said.
"You need to win something and this kind of thing you can win."
And Kamara hopes his own poor record in cup competitions does not prove an omen this weekend.
He added: "When you're at Celtic, we're ambitious to win the trophy because we need to win something this year and I think the cup is a good thing."
One of eight transfer-window arrivals at Parkhead, Kamara pleaded for patience to allow the new faces to gel.
"Two or three new players were playing on Tuesday," he said.
"You just need a bit of time for everyone to play like this or like that.
"And I think after two or three games, the team will be at a high level."
And he is fully behind the vision of manager Tony Mowbray, who he worked under at West Brom for most of the 2006-07 season.
"He's a very good coach with the players," he said.
"He talks a lot with the players and I love his sessions.
"He changes his training all the time and you improve with him.
"This is most important.
"When you come here, you know you can do something to improve."
The Senegal international added: "He's not a liar.
"He's straight and I like this.
"When he wants to tell you something, he tells you to your face and that's most important."