The National Hurricane Center in Miami says Alex is expected to become a hurricane, with its centre is on a track toward the Texas-Mexico border and away from the oil spill area off Louisiana.
A hurricane warning means that hurricane conditions are possible.
A tropical storm warning has been issued for the Texas coast from Baffin Bay to Port O'Connor.
Forecasters say maximum sustained winds Monday night were near 65 mph.
COMMENT RULES: Comments that are judged to be defamatory, abusive or in bad taste are not acceptable and contributors who consistently fall below certain criteria will be permanently blacklisted. The moderator will not enter into debate with individual contributors and the moderator’s decision is final. It is Belfast Telegraph policy to close comments on court cases, tribunals and active legal investigations. We may also close comments on articles which are being targeted for abuse. Problems with commenting? email@example.com