Hummels, who has also been the subject of interest from Premier League champions Manchester United, had reportedly been made available to the Catalan giants if they were prepared to pay the €35m asking price.
However, Dortmund CEO Hans-Joachim Watzke has dismissed reports of a possible move for the German international.
And speaking to ZDF, the Dortmund CEO said: "That is absolute nonsense.
"This is a complete non-story. There's no truth whatsoever in these rumours."
The 24-year-old starred in Dortmund's Champions League run last year as the German outfit made it all the way to the final, and in recent time the defender has attracted great interest from some of Europe's elite clubs.
The defender is still contracted with the club until 2017 and Dortmund look ready to fight for their star as they go in search of reclaiming the Bundesliga title back off Bayern Munich.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: http://gms.to/writeforgms