Getting contacted for a job at 38 weeks! help I need an advice

I recently applied for a job but didn't anticipate them contacting me back for further details as quickly as they did. I'm 38 weeks pregnant and due July 21st. From my research, this is a very good company to work for as well as a well paying company. I also hear the hiring process takes about a month and within this period you are flown to the site for a one on one interview. I'm soo confused as to how to deal with this situation. Your advices would be much appreciated! Thanks in advance for your inputs guys...