I use neem oil as well and I really love the stuff. I couldn't remember if it was rated for this type of bug or not though.
I like neem oil cause it's an "organic" pesticide and so far it's only killed what it's been rated for. I spray for spider mites and I've blasted a few of my regular orb spiders and they're always right back at it the next day.
And aframe totally has it right, DO NOT apply it if your plant has direct sun hitting it. Apply in the morning or in the evening when there's no direct sunlight or you'll end up with even more spoiled foliage.
