Is a BSN from National University accredited enough for a MSN

I am planning to start National University in January for their accelerated bsn program. I plan on getting my MSN later to become a Certified nurse midwife and I wanted to know if schools like San diego state or University of san diego will accept a BSN from National University because it is not very well known. Someone told me that it was a low level school, but it is accredited by WASC and CCNE. It is not accredited by the NLN though.