The Eindhoven-based club are understood to be on the verge of capturing the Heerenveen winger, despite negotiations taking off slowly between the two clubs
Earlier in the week, the Dutch giants' sporting director Marcel Brands had cast doubt about his side's chances of signing the 21-year-old after dismissing suggestions his side had tabled an improved offer for the player.
However, fresh reports in Netherlands claim that the two clubs have now agreed a deal worth €4.5 million for Narsingh, who was also linked with Ajax, subject to personal terms and a medical.
The transfer will represent yet another blow to Heerenveen, who have seen Bas Dost, Daryl Janmaat and Viktor Elm all leave the club earlier in the summer.
Narsingh, who has one year left on his contract with the Frisians, has two Oranje caps to his name and was included in his country's 23-man squad for Euro 2012.