MIAMI (AP) – Tropical Storm Barry formed in the Gulf of Mexico on Friday – the first day of hurricane season – and the National Hurricane Center issued a tropical storm warning for a stretch of Florida’s western coast.

The storm was about 320 miles southwest of Tampa about 5 p.m. and was moving north at around 12 mph with maximum sustained winds of about 45 mph. Forecasters expected Barry to turn east and increase in speed over the next day, though no significant change in strength was anticipated before possible landfall.

“We’re not looking for a hurricane,” said Dave Roberts, a hurricane specialist at the Hurricane Center.

Word of the storm’s development came on the first official day of a hurricane season that forecasters have said they expect to be busier than normal. The National Weather Service said it expects 13 to 17 tropical storms, with seven to 10 becoming hurricanes and three to five in the strong category. Roberts said it was “coincidence, maybe,” that the storm formed on the first day of the season.

Forecasters issued a tropical storm warning, meaning tropical storm conditions are expected in the next day, for the Gulf Coast from Bonita Beach, Fla. to Keaton Beach, Fla. A less severe tropical storm watch, meaning such conditions were expected within 36 hours, was issued from north of Keaton Beach to St. Marks.

The hurricane center said Barry threatened to bring dangerous battering waves, coastal flooding up to 5 feet and rainfall of 3 to 6 inches in the Florida Keys up through southeast Georgia.

Tropical Storm Barry formed more than three weeks after the first named storm of the year – Subtropical Storm Andrea – developed off Florida’s eastern coast. Andrea skirted the southern Atlantic coast but caused minimal damage.