Meanwhile, reports also suggest that Juan Mata could be on his way to Juventus as well, having fallen out of favour with Manchester United manager Louis van Gaal following the signing of Angel Di Maria.
The Argentine playmaker moved to Old Trafford from Real Madrid in a club-record £59.7m deal towards the end of the summer, and looks likely to take up the role Mata would normally play for the club.
The Spaniard only joined United from rivals Chelsea last January, but has struggled to live up to his best form so far, appearing low on confidence after his rejection by Chelsea boss Jose Mourinho in his final months at Stamford Bridge.
The signings of Mata and Podolski would no doubt give Juve a much-improved squad as they look to win a fourth consecutive Serie A crown, as well as make progress in the Champions League after a difficult few years in Europe.
The addition of two established Premier League stars as well as keeping hold of key players Arturo Vidal and Paul Pogba would no doubt give the Turin side one of the strongest squads in Europe.