Reports have suggested the 36-year-old could replace Gerardo Martino at Camp Nou, but the Portuguese has distanced himself from speculation.
Zenit Saint Petersburg coach Andre Villas-Boas has described rumors linking him with a switch to Barcelona as "completely groundless".
The Portuguese only took over at the Russian Premier League side in March after parting company with Tottenham in December 2013.
Villas-Boas has made a strong start to life with Zenit, which is a point ahead of Lokomotiv Moscow for the Russian Premier League lead with four games remaining.
Zenit's performances under Villas-Boas have led to speculation that he could leave the Saint Petersburg club.
Barcelona has been touted as a potential destination for the 36-year-old following a season of relative struggle for the Catalan club that has put coach Gerardo Martino's future in doubt.
But Villas-Boas insists that he has no intention of leaving Zenit.
"All the rumors about my negotiations with Barcelona are completely groundless," he said. "I've signed the contract with Zenit, and I'm set to stay here until its expiry date. My work with Zenit is my top priority."