Quote From helebon:
I don't think your undergraduate degree matters too much. I know of someone doing an online masters degree at Oxford Uni and they didn't do an undergraduate degree. They just got onto the masters course through having a few years experience of working in the subject area.
I also know a professor who didn't do a PhD. They just went from undergraduate degree to masters degree, to researcher then lecturer, senior lecturer then professor. They have quite a lot of papers published (social science).
yea, i seen many faculty with undergrad completely different from grad. at least my online ba is relevant. and actually, it is common to see people earning masters without bachelors.