Greg Hardy's Still Getting MMA-Ready

Greg Hardy's already getting his hands up-to-date for a career in mixed martial arts -- despite the backlash against the ex-Cowboys defensive lineman joining the sport.

Hardy posted a pic of himself working the mitts with a sparring partner. Word is he's training somewhere in the Dallas area.

As we've reported ... there's been a big push from several people in the MMA world to have Hardy blackballed from the sport, due to his domestic violence conviction.