Can I Switch Jobs While My Wife Is Pregnant And We Are Under My Company’s Insurance?

Hello, I am interested in finding a new job at another company. However, my wife is currently pregnant and she and I are both covered under my current employer’s health insurance plan. If I find another job that offers health insurance coverage, will they cover the pregnancy costs even though it is a pre-existing condition? How do I go about asking this type of question to a prospective employer, being that I don’t really need to disclose that I have a spouse, nor that my spouse is pregnant at that.