Bendtner, who spent last season on loan at Sunderland, has slipped further down the pecking order at the Emirates Stadium since the arrival of Lukas Podolski and Olivier Giroud.
Juve turned their attention to Bendtner after missing out on Manchester United’s Dimitar Berbatov.
Sporting director, Beppe Marotta told Sky Sport Italia: ‘Bendtner is already in Italy and will undergo a medical.
‘Until the final paperwork is concluded, I will not say that the player is ours.
‘He has talent and ability. Potentially a great player, one that has almost never been able to prove it.’
The 24-year-old joined Arsenal in 2005 and will be offloaded for around £5million.