The German is leaving the Bundesliga side at the end of the season, and recent stories suggested he had rejected an approach from the Hammers.
But the Standard has contacted West Ham directly, with a source allegedly telling them the reports are “not true”.
Sam Allardyce is currently in charge at Upton Park but his future remains in some doubt following a poor run of form.
West Ham were in blistering form earlier in the campaign and looked on for a European place next season, but they have since faltered and are currently 10th in the league, with 43 points from 33 matches.
There is still plenty of football to be played and there is no doubt Allardyce has made some very canny signings in recent times, most notably Diafra Sakho and Cheikhou Kouyate – along with the loan additions of Alex Song and Carl Jenkinson.
But expect the rumours of an Allardyce departure to continue for some time yet, even if the club have no interest in one of the most highly-rated young managers in the game.