Manager Ronald Koeman is in the market for a new centre-back after Toby Alderweireld decided to join Tottenham and Florin Gardos sustained a serious knee injury.
Steven Caulker arrived on a season-long loan from QPR during the summer, but the Southampton boss is keen to strengthen further.
Signed from Groningen two years ago, Van Dijk has flourished at the Scottish champions and Saints skipper Fonte would welcome his arrival should a move materialise.
“I know he’s a good player, obviously,” the Portugal international said. “He’s a guy that we’ve been linked to, but he’s not here yet.
“But if he comes he’ll be welcomed, like every other player that comes in this club.
“If he comes, he’ll add quality to the team and even more competition at the back, so it will be interesting.
“We are fortunate to have three very good defenders, centre-backs, so whoever comes they know they have to do a job, so I just hope I’m selected.”
Southampton begin their Premier League campaign against Newcastle on Sunday.
Fonte himself had been linked with a move to Crystal Palace recently, where he played from 2007 until joining Southampton in 2010, but dismissed the speculation.
“It is what it is,” Fonte said when asked about the speculation. “I have responsibilities and I have a contract in this club.
“It’s always flattering to have interest from other people, but I think it is what it is, like I said.”