The 27-year-old attacking midfielder has been in sensational shape for the Bundesliga 2 leaders this time period, scoring 8 targets and offering 5 assists in 16 appearances.
Nevertheless it’s claimed Villa are a step forward with their passion, having put out feelers for his products and services.
Championship competitors Cardiff Town have additionally made tentative enquiries.
Drexler, beneath contract with Holstein Kiel till 2019, has admitted a transfer to the Bundesliga could be a “dream”.
“I might be mendacity if I didn’t say that,” he mentioned.
“It’s almost definitely the dream of each and every footballer, and I am now additionally sufficiently old to understand how loopy it could be to play within the Bundesliga.
“After all I pay attention to the whole thing. However at the present time I will be able to smartly believe staying right here for a long time.”
Drexler performed for Bayer Leverkusen, Rot-Weiß Erfurt, Greuther Furth and VfR Aalen sooner than becoming a member of Holstein Kiel.