Pjanic continues to be linked with a move to the Premier League, and it is understood that both Chelsea and Manchester City are monitoring developments surrounding the 28-year-old.
According to Tuttosport, if Pjanic does leave the Italian champions this summer, the club will make an attempt to re-sign Pogba from Manchester United.
The Old Lady have already secured a spectacular deal for Cristiano Ronaldo ahead of the 2018-19 season, but it is understood that there is still money to spend.
Pogba, who has helped France reach the final of the 2018 World Cup, played 178 times for Juventus before securing a return to United ahead of the 2016-17 campaign.
The 25-year-old has netted 15 times since returning to the Red Devils, but his relationship with United boss Jose Mourinho is still believed to be on the ropes.