20-year-old Chong is highly regarded at Old Trafford and has made 16 first-team appearances for the Red Devils.
His next step could be the Bundesliga, with a two-year loan move to Werder under discussion.
The winger’s agent, Erkan Alkan, told BILD that Chong has made his mind up.
“He wants to go to the Bundesliga and to Bremen,” said Alkan. “The concept of the club convinced him.”
Chong appeared as a substitute for Man United in their 2-1 win over LASK on Thursday night in the Europa League.
That may have been his last United appearance for now, with a meeting planned today to decide his future.