The 26-year-old, who began at centre-half but has switched to left-back in recent matches, is currently on loan and has made a favourable impression since forcing his way into the side after recovering from an Achilles problem.
Schmitz said: "The opportunity arose to come to Birmingham and I have been really happy since I arrived. The football is different to what I was used to in Brazil and France, more direct and aggressive, but I am starting to find my feet now."
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