But Schalke's sporting director Christian Heidel told Sport 1 there is no done deal to discuss at this stage.
"Leon has not informed us so far that he has decided to leave us," Heidel said.
"I trust Leon and his agent, with whom I was in contact yesterday [Sunday]."
Arsenal and Manchester United are other clubs reported to have shown an interest in Goretzka, who has previously stated he will make a decision on his future by the end of January .
“I have to find out for myself what the next step should be,” he told reporters following Schalke’s 2-2 draw with Cologne in early December.
“I have to consider a million things. I am a person who is very meticulous in such decisions. I play through all the scenarios. So I need time.
“There doesn’t exist a deadline, but I think we are in the final phase.
“The final decision will be made in January.”
Goretzka has helped Schalke to the lofty heights of second in the Bundesliga with four goals in 11 appearances this season on the back of a superb showing in Germany's Confederations Cup triumph, although a stress fracture in his lower leg has interrupted his progress of late.