Reports in Spain emerged on Sunday suggesting the Argentina was wanted by the Blaugrana as part of new head coach Luis Enrique's summer rebuilding plans.
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However, the striker himself has now further fuelled speculation by stating he would be thrilled to play alongside his Argentina captain at club level.
Speaking after the Albiceleste's 2-1 World Cup win over Bosnia-Herzegovina at the Maracana, in which Messi scored the decisive second, Higuain, when asked if he would be interested in a club link-up, told Efe: "Yes, of course. I enjoy it here with the national team. Obviously it would be a great pleasure, but my head is now in the World Cup.
"I'm happy for the interest from Barca. Any player would be happy."
Higuain came on as a second-half substitute in the clash at the Maracana as Argentina recorded a somewhat unconvincing win in their opening World Cup encounter.
The 26-year-old only left La Liga last summer, as he joined Rafa Benitez's Napoli from Real Madrid, where he went on to score 24 goals during the 2013-14 campaign.