Neither storm was a threat to land, the National Hurricane Center in Miami said in its 11 p.m. EDT advisory.
Lane was pumping out 40 mph winds reaching up to 60 miles from its center about 1,145 miles southwest of the southern tip of Baja California, Mexico. The storm was heading to the west-southwest at 5 mph.
Lane was expected to gradually turn to the northwest Sunday, and gain some strength during the next two days.
To the north and closer to Mexico, Kristy's winds were holding at about 40 mph. The storm was centered about 405 miles west of Baja California's southern tip as it moved to the northwest at 9 mph.
Kristy was forecast to keep on the same track for the next day and deteriorate into a remnant low sometime Sunday night or Monday morning.
With tropical storm winds pushing out 90 miles from its center, Kristy was creating potentially dangerous higher swells and rough surf along the southern Baja California coast.