The German club have decided not to sign Bruma permanently, so the defender will return to Chelsea for the final year of his contract.
The Netherlands international will be hoping to prove his worth at Stamford Bridge after failing to make regular first-team appearances for Hamburg.
"(Hamburg general manager) Frank Arnesen told me that the club will not be buying me, and I will not be staying on at HSV," Bruma told Hamburger Morgenpost.
"Now I am looking forward to a return to London and to Chelsea."
The 21-year-old, who signed for Chelsea's youth team in 2005, made several appearances for the Premier League side from 2009 to 2011 and he credits his time out on loan as a learning experience.
He added: "I feel those two years on loan have still been good for me as a player, despite playing less than expected recently."