The Holland international attracted enquiries from Spurs over the summer and was also interesting Arsenal a year ago.
BILD says Spurs remain keen and are set to try again next month.
"I can be honest, of course I knew there was interest left and right," the Dutchman told Kicker, “with Tottenham it was serious, I was a candidate."
A move to England was my “next dream ", says Weghorst.
And managing director Jörg Schmadtke has already indicated that a transfer is possible in January: "If we get an offer where the profitability exceeds anything, then we will have to think about it."