Manchester City would be interested in signing Raheem Sterling if he were to become available, according to Sky sources.
Tottenham have completed a deal for Cologne defender Kevin Wimmer and he will join them in June, Sky sources understand.
The 22-year-old is a natural right-back but filled in for injured left-back Danijel Pranjic during Croatia's World Cup campaign in Brazil and has previously played in midfield.
A statement published on Sassuolo's official website said Vrsaljko would be presented to the media at 1430 BST on Wednesday.
The Neroverde have already added Federico Peluso from Juventus, striker Antonio Floro Flores and midfielder Davide Biondini to their ranks as they look to consolidate their position in Serie A having narrowly secured survival at the end of their maiden top-flight campaign.
Sassuolo have also on Wednesday confirmed the departure of 23-year-old midfielder Karim Laribi to Serie B side Bologna on a season-long loan.