I don't know for sure but maybe. The world is changing and it's a commonly held belief that black women are not attracted to white men and maybe vice versa but I think that is a direct result of lack of exposure, absorption of stereotypes and old ideas that haven't been updated.
The idea that black men all want white women is a very old one that has been circulated for hundreds of years; therefore, it's an accepted part of the socialization process. White men being keen on black women is not though there is far more empirical evidence to support that notion historically than the former i.e. most American blacks have European blood not because of a bm/ww union because of wm being with bw. I'm not making a comparison between black women and prostitutes but if one looks at the history of prostitution in Louisiana, the ones who drew the most white customers weren't white women, they were ones with black blood.
I think women in the younger generations - people born after the late 70's - have different ideas about dating. I think they are slowly but surely being exposed to more white men in close settings where they really get to know them and vice versa. I think the women are acutely aware that the numbers are not in their favor in terms of finding quality black men for marriage and they will start looking elsewhere in larger numbers. More white men are getting to know black women and finding that they are not all the caricatures they've been made out to be and are more likely to ask them out than they were just ten years ago.
Of course, white men aren't the only men in the world and just because bw decide not to wait around for a bm doesn't mean they'll turn to whites. I read something about black women and Somoans the other day and, of course, there are always Latino's.