De Vrij has impressed at the World Cup finals, which saw him strongly linked with a move to Old Trafford with Dutch coach Louis van Gaal.
But Lazio, who made a move for De Vrij before the World Cup, are confident they will strike a deal with Feyenoord for the 22-year-old central defender.
"Many things have been said and written about De Vrij and his transfer to United but this is not true," Lazio sports dierctor Tare revealed, while also confirming their interest in Davide Astori.
"His agent has said clearly that he has never been to Manchester to meet with the English club. De Vrij's will is to play in Lazio. (Davide) Astori wants to come too, and we're talking with Cagliari to find an agreement."
The likes of Liverpool and Everton have also been strongly linked with De Vrij in recent months.