The road game in the knockout tournament is scheduled just four days after the Galaxy were set to travel to the Bay Area for a June 27 game against San Jose as part of MLS Rivalry Week.
The winner will play the victor of the game between Real Salt Lake and the Portland Timbers.
The full draw, made this morning, is here.
The Galaxy advanced by beating amateur side PSA Elite last night in Carson with Robbie Keane nailing a hat trick: