Adidas Standing By Justin Bieber -- He's Still Wearing Our Kicks

Justin Bieber's DUI arrest has NOT cost him the support of a major sponsor ... TMZ has learned Adidas is standing by him -- for now.

The athletic shoe company tells TMZ, "Nothing is changing in our relationship with Mr. Bieber at this time" ... which sounds like they're leaving that door open.

Bieber signed a big endorsement deal with Adidas back in 2012 -- he and Selena Gomez are the celebrity faces for the company's NEO line.

The Biebs earned about $58 million last year ... a good chunk of that from deals he made to hawk sneakers, headphones, nail polish, makeup, a prepaid credit card and the acne cream, Proactiv -- which paid him about $3 mil until that deal ended.

None of those other companies -- as far as we can tell -- have made any move to ax Bieber.

And judging by that mugshot ... maybe he shoulda stuck with Proactiv.