The Denmark international has been in prolific form this season, netting 25 goals and providing 17 assists in all competitions.
It has been the best season of the 26-year-old striker's career, and Everton's interest is unsurprising with manager Ronald Koeman having an expert knowledge of the Eredivisie.
Jorgensen only signed for Feyenoord last summer, switching from FC Copenhagen, having previously played for German side Bayer Leverkusen.
His career path almost took a different turn, with Jorgensen taking a trial at Everton's Merseyside rivals Liverpool 12 years ago.
Denmark's Nicolai Jorgensen and Scotland's Steven Whittaker in action
His dad Lars Jorgensen, a former player himself, told Holland's FC Update about the trial, admitting it was too much too soon for his son.
He said: "When Nicolai was 14, he was one of the best players in Scandinavia. He had been running at a two-week trial at Liverpool.
"When he came back, the pressure was too great for a boy of 14. It was a mistake of mine to him which side to send him."
Jorgensen has been a late bloomer, with his switch to Bayer Leverkusen also coming too early for him.
He didn't score a single goal for the German side and barely featured, being sent out on loan and struggling before finding his feet upon returning to Denmark with Copenhagen in 2012.
In the four years since he has developed as a player, earning international caps for Denmark and a big move to Holland.
He has been a roaring success for Feyenoord, and if Everton do splash out on him this summer, they should be confident that this time he will be ready for the challenge which awaits him in England.