Wanyama is on a shortlist of players Dortmund are keen on, but the report does add that defensive midfield is not as urgent as others, after they signed Thomas Delaney from Werder Bremen last week.
Ex-Celtic ace Wanyama signed for Tottenham from Southampton two years ago, but fell out of favour last season after being a regular in his first.
He missed the first part of the season with injury and then played irregularly upon his return, being sat on the bench for Tottenham's FA Cup semi-final defeat.
To sign Wanyama, Dortmund may have to pay big.
This certainly seems excessive, and Dortmund are regarded as sensible spenders.
Spurs would have to lower their asking price to make a move viable for the Kenyan.