EXCLUSIVEA nocturnal Lamar Odom wandered the streets of Downtown L.A. just after midnight Monday ... returning home at 6:30 AM.
According to the photo agency that took the pictures, Odom hit up Wokano sushi restaurant shortly after midnight. He stayed for only 5 minutes, according to the agency, and then meandered to a convenience store where he picked up a banana.
Odom returned to his downtown apartment building -- located about 1 mile from Skid Row -- then reemerged at 3:15AM, when he jumped into someone's car.
Odom returned again after 6AM ... presumably for some sleep.