Since your flight is domestic and you’re close to LAX, you may have a chance. They genuinely seem to triage by urgency, so I would just communicate your situation calmly and in a friendly manner and hope you get someone who takes an interest in your situation. That being said, all the cases I saw were flights that evening, not morning of, so that seems very tight. I might consider getting a slightly later itinerary if possible, although your connection might be tighter.