Steve Clarke's charges top the Scottish Premiership table, leading some fans to dream of Killie doing a Leicester City.
Over the years, the Scottish Premiership title race has usually seen Celtic, Rangers or both race ahead of most other clubs in the league within the first dozen or so games.
This year, however, not only are the two Glasgow giants directly going head to head for the first time in several years, but there is also a third contender currently at the summit.
Kilmarnock beat Livingston 2-0 on Wednesday to leapfrog Rangers into top spot in the standings, the fourth table-toppers so far this season.
According to BBC Sport, Steve Clarke's charges have picked up more points than any Premiership team in 2018, with 64 from 33 games, while the Hoops currently have 61 from 30.
The last time Killie were first in the Scottish top flight after 10 games was the 1964/65 season - in which they won the title outright.
As a result, a number of comparisons with 2015/16 Premier League winners Leicester City have been made from some football fans on Twitter:
I really hope Kilmarnock do a Leicester!— The Derry Coo ✊ (@TheDerryCoo) December 6, 2018
Kilmarnock - the Scottish Leicester City?— john welsh (@welshjb) December 5, 2018
Are Kilmarnock going to be Scotland Leicester city, we can but hope pic.twitter.com/Nfie8WiMrp— John Edwards (@wolf_alba) December 6, 2018
However, Celtic midfielder Ryan Christie thinks it's still too early to make such predictions - but is open to reassessing these after the Scottish winter break.
"It is only the start of December and there is such a big run of games for everybody leading up to the winter break," Christie told BBC Sport.
"After the break, then you can start talking about it. But they have been playing very, very well and the manager there has done a fantastic job."
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