The 27-year-old has been linked with a switch to Old Trafford following his performances under manager Louis van Gaal during the Netherlands' World Cup campaign in Brazil.
However, Tare told reporters: "Many things have been said and written about De Vrij and his transfer to United but this is not true. 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."
De Vrij has played for Feyenoord in his entire career so far, and made his senior debut back in 2009.