Actually, unless your child is very verbal, I think 3.11 is quite young for an accurate Asperger's diagnosis. Also, MOST people have some ASD traits, so what the psych told you isn't all that helpful.
What I would do while you wait for a thorough evaluation is to address individual needs. What concerns you about your child? Is it speech? If so, then check out the Hanen books or Dr. John MacDonald's Communicating Partners site.