Fabio Paratici, the Juventus sporting director, said the club is "attentive" to Ramsey's situation and praised the midfielder as a "great player".
"[He] plays in a great team and now that's enough".
He has won three FA Cups at Arsenal, and also scored the winning goals in the 2014 and 2017 finals against Hull and Chelsea respectively.
Arsenal have ended contract negotiations with Ramsey to open up the prospect of the Welsh midfielder leaving on a free transfer at the end of the season despite his continued important to the Gunners.
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But Arsenal coach Unai Emery does not expect him to leave in January.
A host of clubs across Europe have been in the race to land the player but a tweet from an Italian journalist today suggests a deal has been done and the Welshman is heading for Turin. At the moment he's working with us and I think yes [he's going to stay]'.
'I want this focus when he's playing.
Ramsey, meanwhile, started on the bench against Fulham after he played 90 minutes in Arsenal's 5-1 defeat to Liverpool on Saturday.
Ramsey is now playing for his future away from the Emirates Stadium amid interest from some of Europe's biggest clubs.