Lasogga is on-loan at Leeds this season from Hamburg SV and his form has attracted interest from Premier League clubs, says BILD.
But his priority is to stay at Elland Road - particularly if they can win promotion from the Championship.
He told Sky Deutschland: "Sure, I'm still a player of HSV, but maybe my childhood dream will come true.
"Here you can use your body well, here is less whistling than in Germany.
"I feel pretty well here. Everything is alright."