Griffiths has been a hugely influential player for the Edinburgh club this season and his efforts have earned him nominations for both player and young player of the year at tomorrow night's PFA Scotland awards.
Killie know first-hand just how dangerous the striker can be after he bagged a hat-trick the last time the sides met when Hibs came out on top in a William Hill Scottish Cup tie.
Shiels said: "He's done well against us and he has done well against everybody. He is certainly right up there for player of the year. But we have to focus on how we play and that's the most important thing."
The Rugby Park side are boosted by the return of Rory McKenzie after he recovered from a sickness bug, but Shiels has had a number of injury problems to contend with in the latter part of the campaign.
However, he refused to make excuses, adding: "Most clubs have four or five missing and we just have to try to get a performance and get a result on Sunday."
Shiels has already recruited Inverness goalkeeper Antonio Reguero on a pre-contract agreement ahead of next season and is keen to bolster his squad further for the new campaign.
He said: "I'm looking at a little bit more experience in certain areas of the team, which will help us. That's where I'm at just now."