Yes,
The Hispanic share of the population is increasing rapidly in Texas and I think the black shares of MS & SC are increasing as well (albeit at a smaller rate). It will be a while before this change is enough to affect MS & SC, but Texas should be in play within a generation or so.
Actually, the Black share has been going down in SC, but so is the non-Hispanic White share. While there is no longer the heavy Black outmigration that there was c. 1900-1970, recent inmigration has been a combination of people moving here from elsewhere in the States at roughly the same proportion as national demographics and Hispanics moving here for physical labor jobs.