The Category 1 storm had maximum sustained winds of 80 mph (130 kph) and was moving northwest at 7 mph (11 kph), according to the U.S. National Hurricane Center in Miami.
Trudy was moving away from the coast and its center was forecast to pass south of the Baja California Peninsula on Monday and Tuesday.
Some further rainfall was possible in the region where the ground has been saturated by successive storms.
Meanwhile, Typhoon Champi has moved from the western Pacific into the Philippine Sea. It had maximum sustained winds of 175 kph (109 mph) by midday Monday Asia time and was not near land.
Champi earlier passed close to Guam, and the governors of Guam and the Northern Mariana Islands requested emergency disaster declarations Friday.
U.S. President Donald Trump approved the emergency declaration for Guam. The Federal Emergency Management Agency said federal assistance was available for the territory to supplement local response efforts.
Airports, harbors and some health facilities in the territories were closed. Relief supplies were unlikely to reach the islands for three to five days, FEMA said Saturday.