The right winger has set his sights on a move to the Amsterdam ArenA, and hopes that both clubs manage to agree terms in the summer transfer window
The Amsterdam giants recently had an offer for the winger turned down, but talks are expected to continue over the next few weeks as the 21-year-old has set his sights on a transfer to the Eredivisie champions.
"The fact that Ajax have already made a first offer says something about the belief they have in me. I don't know how much they bid, but I hope that both clubs will eventually reach an agreement on a transfer fee," Narsingh said to De Telegraaf.
Narsingh came through the ranks of the Ajax youth academy, but never made it into the first team at the Godenzonen.
The attacker, who has a contract with Heerenveen until the summer of 2013, has been one of the revelations of the season, and has already amassed 19 assists in the Eredivisie this term.