The German striker is currently on loan at Elland Road from the Bundesliga side.
Pierre-Michel Lasogga was signed by Leeds United as a replacement for Chris Wood.
The German failed to have the desired impact during his time at White Hart Lane.
Hamburg are reportedly interested in signing Moussa Sissoko from Newcastle United in the summer transfer window.
The Croatian international will be a free agent in the summer.
The Hungarian international is surplus to requirements at the Bundesliga club.
The Hamburg man is not wanted at the Bundesliga club.
The Magpies are said to be keen on the player as doubts emerge over Papiss Cisse's future.
The Norwegian was named the PFA Scotland Player of the Year.
The Hamburg SV midfielder will not be returning to Amsterdam this summer.