Steven Gerrard’s men prevented Celtic from winning a historic 10th consecutive league by beating St. Mirren last weekend, sparking celebrations in the blue half of Glasgow.
The Gers will face their bitter rivals at Parkhead on Sunday, and the Dutchman has hailed Gerrard's side for thriving under the pressure of the Hoops’ looming presence.
Speaking to Jim White on talkSPORT on Thursday, he said: “It’s a big achievement to become champions in Scotland with the competition, with Celtic.
"This is really a great, great achievement.
"I saw it already when we played Feyenoord against Rangers that they already had it in their fingers, and that was so important.
“He [Gerrard] was a great player, and he will become a great coach as well. I saw it on television and I get great, great feelings about it again because we did it as well.
"I know what it means for the fans of Rangers because it means so much there. It’s a great feeling”.
Advocaat also heaped praise on Gerrard for how well he has adapted to life in the dugout.
The 73-year-old pitted his with against the Ibrox boss when Feyenoord faced Rangers in the Europa League back in 2019.
He added: “I have no doubts about that [Gerrard will become a great coach].
"The way he acted when he played against Feyenoord – very calm, very relaxed, he knows what he is saying.
"I have a very good feeling about him”.