Still, the storm is expected to dump between 2 to 4 inches of rain over the southern half of Baja as well as northwest mainland Mexico.
The Mexican government discontinued hurricane warnings for Baja California, after the storm failed to pick up strength on its path northward.
The U.S. National Hurricane Center said some development of this system is possible on Friday.
The U.S. National Hurricane Center says Dolores is expected to become a major hurricane Wednesday.
The category 4 storm is expected to bear down on a tourist hub at the southern tip of the Baja California peninsula.