The 28-year-old Brazilian, who has four years left on his current deal, has been heavily tipped to join the Spanish champions this summer.
"The intention is to find a centre-back," Goal.com quotes Vilanova as saying.
"I would like [Silva] to come but I have not given just one name. We want to sign a centre-back."
Silva signed for PSG from AC Milan last summer in a deal thought to be worth around £36m.