Juventus director Fabio Paratici said Arthur has to be "convinced" about swapping Barcelona for Turin after confirming negotiations with the La Liga champions.
Arthur has been at the centre of a possible swap deal involving Juve midfielder Miralem Pjanic , though the Barca star is reportedly unwilling to leave Camp Nou.
Paratici provided an update on the situation prior to Juve's 2-0 victory over Bologna in Serie A on Monday.
"We have spoken frequently with Barcelona, but at this moment all the teams are playing important games, so we preferred to bypass this period," Paratici told Sky Sport Italia.
"It's not about June 30, before or after, but about finding an agreement between the various parties, and both players have to be convinced. Therefore, it's not an issue about dates."
Arthur joined Spanish giants Barca from boyhood Brazilian club Gremio in 2018.
The 23-year-old, who impressed in his maiden campaign, has made 26 appearances and scored four goals in all competitions this season.
Earlier this month, Barcelona coach Quique Setien admitted there had been discussions about the Brazil international's future .
"It is true that we have talked about something, but not too much," Setien said when asked about Arthur.
"The current circumstances are different from the usual ones and will affect the market.
"As for the players, I am clear that all those who are currently in the squad, I count on them and I need everyone because there are going to be many games.
"On outside speculation, I choose not to speak."
Arthur made clear his desire to remain with Barcelona back in April; he was previously suggested as a transfer target for Inter.
In a statement sent to Mundo Deportivo , he said: "There will always be speculation but, sincerely, my idea is very clear. The only option that interests me is to continue at Barcelona.
"I'm very secure and relaxed. I feel really well here and, plus, I'm grateful to the club and technical staff for their confidence. This is yet another reason to be totally clear that my only desire is to continue."