The flight and helicopter came within about a mile of each other, FAA officials said.
The controller had the helicopter stay in place, while the Southwest plane went around.
Last Saturday's incident occurred just a month after two planes were cleared to land and take off from the same runway, causing another close call at the Hollywood-Burbank airport.
There have been at least seven other close calls nationwide since December, according to ABC News.
The FAA is investigating the incident.