The 10th named storm of the Atlantic storm season was about 590 miles west of the southernmost Cape Verde Islands at 5 p.m. EDT, with sustained winds near 45 mph, the forecasters said. Josephine's winds extended 105 miles from the storm center.
The system was moving west-northwest near 10 mph and that motion was forecast to continue for two days, the report said.
"Upper-level winds are currently not favorable for significant strengthening and little change in strength is forecast during the next couple of days," the report said.
Josephine is trailing Hurricane Ike, a dangerous Category 4 storm that was about 505 miles northeast of the Leeward Islands at 5 p.m., as well as Tropical Storm Hanna, which was centered about 155 miles east-northeast of Nassau.