Clemens Tonnies is hoping to get hold of Wimmer.
Tottenham Hotspur's excellent form this season has been built on the solid basis of Toby Alderweireld and Jan Vertonghen at centre-back.
However that has seen Austrian defender Kevin Wimmer largely watching from the sidelines.
Wimmer joined Spurs in the summer from FC Koln but has struggled for regular football since the move. The 23-year-old has only played five games this season and has not featured at all in the Premier League.
With that in mind, and his place in the Austrian national team at threat for the European Championships in 2016, Wimmer has been linked with plenty of moves away from the club this month.
"With Wimmer and (Jonathan) Brooks, we are in intensive discussions."
Schalke are looking for a new centre-back because of an injury suffered by Benedikt Howedes.
However Wimmer's departure would look unlikely. The defender has performed well in many of the games he has featured and Tottenham need to ensure they have sufficient depth in the defensive department for the rest of the season.
Tottenham are unlikely to let him leave the club for Schalke this month, despite the German side's clear interest in the player.
In the same comments Tonnies stated interest in Hertha Berlin's American defender Jonathan Brooks - that would seem a more likely option.