Modric is on loan at Inter until the end of the season.
The 25-year-old has not played for the Italian champions since suffering a serious knee injury in March, and has been sidelined for two months with a groin problem.
However, he has managed to make a swift return to action on Saturday, playing the full 90 minutes as Juventus beat Palermo 4-1 in the first leg of their Champions League quarter-final tie.
The Slovenian defender has scored four goals and assisted three in 18 league appearances since his return.
Modric, who has notched six assists this season, was the first player to score in all three legs of the Italian cup final, which Juventus won 2-0 on aggregate.
Juventus will be without Mario Mandzukic for at least two weeks after he injured his knee while out on loan.
Inter also lost striker Davide Santon, who was due to return to the squad on Tuesday but the Serie A side will now turn to the versatile youngster from Udinese for their first serious injury injury.
Santon’s injury is not expected to be too serious, but the Italian side will be left without their top scorer in midfield.
The move for Modric will cost Juventus a further €7m in wages and the Italian giants are expected to take a similar approach to Barcelona in order to sign a replacement for the Brazilian.
After a tough start to the campaign, Modric has emerged as one of the most important players at the club, scoring 16 goals in 24 league appearances.
He has made just one substitute appearance since returning from injury and is currently sidelined with a hamstring injury.