Juventus have been forced to increase their initial offer of 50 million euros to meet the demands of the Dutch club, who orignally valued the 19-year-old at 75 million euros, so reports Dutch daily De Telegraaf.
It is understood that there are only a few details left to sort out before an official announcement of can be made.
De Ligt's future has been the subject of much speculation over the summer, with a number of Europe's top clubs having been interested in signing him at one stage or another.
The Holland worldwide was expected to join Barcelona, but after talks faltered over personal terms Juventus appear to have won the race for his signature.
"In a statement, the Dutch club said: "[We] left Saturday afternoon with 28 players to the training camp in Bramberg, Austria, Awaiting a possible transfer, Matthijs de Ligt does not travel with the group".
Juve, meanwhile, will be aiming to make a bigger impact in the latter stages of the Champions League having won their eighth Serie A title in a row last season.