This happens every Tuesday at the Greenway Court Theatre - originally built by students as a class project in 1939 to be used as a student social hall. There are open mic and slam nights so take your pick or watch on livestream.
9 PM Tuesdays at the Greenway Court which can be found at 544 N. Fairfax Blvd, CA 90036. $5 (cash only) on Open Mic Nights but $10 (cash only) on Slam Nights which are the 3rd Tuesday of each month.
More information available here http://dapoetrylounge.com/ or here http://www.greenwayartsalliance.org/ or you can join in by livestream here http://new.livestream.com/accounts/991330/events/1562228.