New Barca boss Ronald Koeman is keen to sign his Dutch compatriot with the Ivan Rakitic having left the Nou Camp and Arturo Vidal expected to exit.
Liverpool have reportedly offered Wijnaldum a new two-year deal with the midfielder having impressed at Anfield.
Though Spanish outlet Sport claim that Wijnaldum has given the thumbs up to a move, which would see him put pen to paper on a three-year deal at the La Liga giants.
Barcelona are reportedly waiting for Liverpool to agree a fee for the former Newcastle star with hopes that the price won’t exceed €20m (£17.8m).
Liverpool boss Jurgen Klopp was recently tight-lipped on the future of Wijnaldum, saying: “An open contract situation, we don’t talk about it. It’s all between us and the player.
“All good at the moment. Gini looked good in pre-season, played some good seasons for us. That is all I can say.”
Wijnaldum had hinted that he was unsure on his future back in January, before Liverpool secured their maiden Premier League title.
He said: “I’m just focusing on bringing this season to a good end and that’s the only thing I’m thinking of.
“What would I like? It is difficult to say. It depends on what the club wants and how the situation is at that time. We will see.”
Get the latest transfer news straight into your inbox!
Want to be on the ball with Jadon Sancho to Manchester United updates? Or perhaps you're a Chelsea fan wondering who on earth could join next?
Well then sign up for the brilliant new Daily Star Sport email newsletter!
From the latest transfer news to the agenda-setting stories, get it all in your email inbox.
How do you sign up?
It only takes a matter of seconds.
Simply type your email address into the box at the top of this article and hit 'subscribe'.
And that's it, job done. You'll receive an email with all of the top news stories every single morning.
You can find out more information on our email newsletter on this link here.
And when asked by Sky Sports if it would be hard for him to leave Liverpool, Wijnaldum added: “Yes, it’s like home.
“You just have to see how the situation is but if the manager decides that the younger players are going to play the game then we should accept it.”