Apart from last season's League Cup triumph over the Hoops at Hampden, Killie last won in the green and white side of Glasgow 57 years ago but Shiels hopes that poor run ends this Saturday.
"I wasn't born when we last won at Parkhead so let's not say any more than that," said Shiels.
"It's been a long time and it will be good to try and do something about that.
"We've set a few records at Kilmarnock.
"We beat Celtic in Glasgow for the first time in 55 years last season.
"If we get back to performing well then I'd be happy that we can achieve something from the game."