The troubled couple was snapped running errands together hand-in-hand in Los Angeles on Saturday ... it's clear she's standing by him.
"I'm not going to continue with the show," Dean told Access Hollywood Live last week. "We have five more shows left ... I can't do this anymore. I can't keep opening a vein, opening my soul and sharing my feelings and thoughts and demons with the world."
toofab confirmed that Dean will appear in the final five episodes of the season, to fulfill his commitment for Season Two ... but it's up in the air after that.
The show has focused heavily on Dean's affair, which has been extremely difficult for the father-of-five to handle.