The 24-year-old has found his opportunities limited at Spurs and according to the Telegraph he is in talks about a possible transfer to the Hawthorns.
Baggies boss Tony Pulis had been chasing Middlesbrough’s Ben Gibson, but he has now turned his attentions to the Austrian international.
Wimmer has made just 31 appearances for Spurs since joining the club for £4.3 million from FC Koln in May 2015.
He previously played 73 games for the German side, helping the club to the Bundesliga 2 title in 2013/14.
Pulis has been eager to improve to his squad, with striker Jay Rodriguez his biggest signing this summer at £12 million from Southampton.