Celtic come into this game without a win in their last three domestic fixtures and 13 points behind league leaders Rangers.
But the Hoops put in a much better performance against Lille on Thursday night, beating the French side 3-2 in the Europa League.
David Turnbull and Ismaila Soro both impressed for Neil Lennon's side in that game and it will be interesting to see if they start again today.
Here's what you need to know about the match:
Where and when is it?
The game takes place at Celtic Park on Sunday, December 13.
What time is kick-off?
The action gets underway at 3pm.
What channel is it on?
The game is not being televised live, but will be shown on Celtic's Pass To Paradise for season ticket holders.
Quotes corner
Celtic manager Neil Lennon: “We have been through a tough period but I am pleased we have come out the other side of it.
“We are not getting carried away and saying ‘right these players are done, this is new age Celtic’. You have to do it bit by bit.
“It is a hugely exciting period. We have to chase down our rivals in the league and have a Cup Final coming up which is something to really look forward to.”
Betting odds
Celtic win: 1/5
Kilmarnock win: 11/1
Draw: 11/2
