The centre-back's deal expires at the end of the season, but is in talks over a renewal with Simone Inzaghi's side.
The capital club are confident of extending De Vrij's deal until June 2020 and the 25-year-old said last week he is happy where he is.
"I'm very happy to be here, we are talking to the club now and I hope to find an agreement," he told reporters.
"You never know what will happen, but my intention is to grow, improve and make the best decision for my career."
However, Massimiliano Allegri's side are only interested in signing him for free.
De Vrij has been a key player for Lazio, who currently sit third in Serie A after nine games, level on points with Juve and three behind leaders Napoli.