There has been talk on social media that the Liverpool star has done a deal where he will sign for the Spanish giants in 2019.
Balague was quizzed on the rumour today in a Sky Sports Q&A.
One fan tweeted: “Rumour has it … barca have a deal in place to sign firmino from LFC in 2019, long term Suarez replacement??”
He said: “Absolutely not true. They do not have a deal in place, not true at all.”
Liverpool now want to secure the long-term future of Firmino by offering him a bumper new deal.
The Brazilian has two more seasons to run on his current deal but an talks are underway for an extension at Anfield even before Philippe Coutinho’s £142million move to Barcelona.
Coutinho’s departure was recognised in a Facebook post by Firmino at the weekend.
He wrote: “Liverpool is no longer the same without you my magical brother.”
Alex Oxlade-Chamberlain, meanwhile, has backed Firmino to shoulder the burden following the sale of Coutinho.
He said: “First and foremost, I am the type of person who relishes the chance to stand up and perform under pressure, I have had to do that my whole career.
“At a massive club like Liverpool people are going to come and go.
“Whoever remains it is our job to keep the wheels moving and keep the momentum going.
“It’s our job now, as the players that remain, just to keep going. And for me, really, it is business as usual. I knew what an amazing player he was, what a world-class talent he was, before I came here.
“And in the short time I have been able to play with him, I have seen what an influential part he was in the side.
“People come and go. Great players will leave clubs and the clubs bring in great players.
“When Phil wasn’t playing in the team for some games, we still played great football and we have amazing players who can score goals – the likes of Mo Salah, Sadio Mane, Roberto Firmino.”