As someone that's not a native english speaker, can I ask you why "his" is sexist?
A quick read of a dictionary (http://dictionary.reference.com/browse/his) says that his is "the possessive form of he", and the second definition of "he" is "anyone (without reference to sex)". That's also what I got taught in middle/high school.
Sorry if I'm just missing something and this is a stupid question.