Diaz and Nunez have both departed the Premier League champions, joining Bayern Munich and Al-Hilal, respectively, for a reported combined fee of £106 million.
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Liverpool have been heavily linked with a move for Newcastle striker Isak, 25, and are understood to have had a £120 million bid turned down by the Magpies.
Speaking after their penalty defeat to Crystal Palace in the Community Shield on Sunday (August 10), Van Dijk, 34, urged the club to sign a new forward.
“After losing Nunez and Diaz we need another forward,” the Liverpool captain told talkSPORT.