The Germany defender is set for a Newcastle United medical ahead of completing his transfer from Milan.
Milan accepted Newcastle's £35m offer over the weekend, with Thiaw welcomed by staff at Benton on Sunday night.
Before boarding a private jet from Milan, Thiaw told Sky Italia: "Newcastle? I am happy with the choice.
"I'm ready for the Premier League."
On transfer plans, Toon manager Eddie Howe said on Friday: "The owners are very much engaged, as much as they always have been.
"There's a lot going on at the football club behind the scenes to take the club forward, whether that's stadium-related, training ground-related.
"Unfortunately, these things do take time, and there's no quick decision-making process that can fast-forward things any quicker than they take."