Tottenham chairman Daniel Levy flew to Amsterdam on Monday for talks with the Dutch side.
Spurs have offered €12million for the 25-year-old defender, but Ajax value Vertonghen at €15million.
But Levy remains confident of finalising a deal for Vertonghen.
“I have a preference for Spurs,” Vertonghen said. “I’ve got the best feeling for that club and I’m a ‘feeling person’.
“They already invited me and want to handle it quickly. They say I’m their only option, which I take as a compliment.”