A stronger Hurricane Jose continued to track northward off the U.S. East Coast on Sunday, and tropical storm watches were in effect for some of the Mid-Atlantic states.

The National Hurricane Center believes Jose will stay offshore but warned those along the East Coast to keep an eye on the storm, which will track parallel to the East Coast before turning out to sea.

As of 10 p.m. CDT Sunday, Hurricane Jose was located about 305 miles southeast of Cape Hatteras, N.C., and was moving north at 9 mph.

Jose's winds were holding at 90 mph, the hurricane center said. Jose was expected to remain a hurricane through Tuesday before weakening.

While Jose's forecast track keeps the center of the hurricane off the East Coast, the hurricane has grown larger and may come close enough to bring tropical storm conditions to some areas starting on Tuesday.

Hurricane force winds extend outward up to 60 miles from Jose's center, and tropical storm force winds extend out up to 205 miles, the hurricane center said.

With that in mind, tropical storm watches were issued on Sunday for the Mid-Atlantic states, from Fenwick Island in Delaware to Sandy Hook, N.J., including Delaware Bay South; and from East Rockaway Inlet, N.Y., to Plymouth, Mass., including Long Island Sound, Block Island, Martha's Vineyard and Nantucket.

Areas along the coast are already feeling Jose's presence, however. Waves stirred up by the storm are making for dangerous conditions along the shore.

Minor to moderate coastal flooding will also be possible from Delaware to southern New England during the next several days, according to forecasters.

The hurricane center said rip currents and rough surf will be possible for the next several days along the East Coast.

Jose is one of three named storms in the Atlantic on Sunday.

Hurricane Maria is strengthening and is threatening the Leeward Islands, where hurricane warnings and watches are in effect.

There's also Tropical Depression Lee, which had weakened on Sunday and was not expected to affect land.