On FOX News, U.S. Sen. John Cornyn said he plans to stop a proposed rule that would allow tens of thousands of migrants from Cuba, Nicaragua, Venezuela and Haiti to stay in the U.S. as their asylum cases are under consideration.On FOX News, U.S. Sen. John Cornyn said he plans to stop a proposed rule that would allow tens of thousands of migrants from Cuba, Nicaragua, Venezuela and Haiti to stay in the U.S. as their asylum cases are under consideration.