Jefferies compared the two feats saying: "I remember going to Ibrox and winning 3-0 with Allan Johnston scoring a hat-trick.
"He was unbelievably superb that day. He showed great composure and great finishing and Naismith's performance was comparable, it was a similar situation to that.
"But they don't come round too often. Naismith was always the one players that had their defenders asking, 'Where is he?'
"He is a difficult player to stop. He is aggressive, strong and is direct and he is a good finisher as he showed."
Naismith is looking to help Kilmarnock win silverware for the first time since 1997 when, ironically, they beat Falkirk 1-0 at Ibrox in the Tennent's Scottish Cup final.
The 20-year-old is hoping to play a more practical part than he did when he attended the final in Glasgow as a 10-year-old Killie fan.
He said: "Yes, I was a the game supporting Kilmarnock. I was only ten but I remember Paul Wright scoring Killie's goal.
"The amount of Kilmarnock fans there was unbelievable. I hope we can see the same again.
"I suppose I'm living the dream. With the Old Firm out we have a great chance - now we have to go and do it."