MIAMI, Florida (AP) -- A tropical depression brewing over the open Atlantic remains large but disorganized, forecasters said.

"It's right on the cusp of becoming a [tropical] storm, but we don't anticipate significant strengthening," said Jamie Rhome, forecaster with the Miami-based National Hurricane Center.

The sixth depression of the 2006 Atlantic hurricane season had top sustained winds near 35 mph, according to the hurricane center. It would be named Florence if it reaches tropical storm strength with winds of at least 39 mph.

At 5 a.m. ET, the depression was centered about 1,030 miles east of the Lesser Antilles and moving west-northwest near 13 mph, a path forecasters said was expected to continue for the next day.

It comes on the heels of Tropical Storm Ernesto, which was briefly the season's first hurricane before hitting Florida and North Carolina last week as a tropical storm.