The 28-year-old Wales global had already been told by new Arsenal manager Unai Emery that he did not feature in his plans at the Emirates and will soon bring to an end his 10-year association with the north London club.
Ramsey will only be second to Cristiano Ronaldo but ahead of conspicuous stars such as paolo Dybala and Douglas Costa in the wage scheme.
Juventus are nine points clear at the top of Serie A and are expected to win their eighth straight league title. They have reached two of the past four Champions League finals, albeit losing both, to Barcelona in 2015 and Real Madrid two years later.
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That partly explains why Ramsey's game time has been limited and is among the factors attracting him to Juventus, where manager Massimiliano Allegri tends to operate with a three-man midfield. They have signed the likes of Emre Can, Dani Alves, Paul Pogba, Sami Khedira without paying any transfer fee for them in the recent past.
And Emery insisted on Thursday that he will still count on Ramsey for the rest of the season even if he does finalise a deal with Juventus.
As reported earlier, the Welsh midfielder has been in the Arsenal since 2008, and his current deal will expire in summer 2019.
Meanwhile, head coach Unai Emery had reservations about Ramsey's role in his squad.