The defender impressed on loan last season, but had to go back to Eintracht Frankfurt when he suffered an ACL injury in January.
Newcastle tried to sign him in the summer, but he was not fully fit at the time.
According to the Shield's Gazette, Newcastle will be back in for Willems this winter.
The left-back is someone manager Steve Bruce likes a lot.
Willems would also be available within the budget set aside for winter transfers at the club.