The Weather Channel | Tropical Storm Norma Expected To Become a Hurricane Tonight, Likely to Threaten Baja California Next Week The Weather Channel Norma currently is about 275 miles south of Cabo San Lucas, Mexico, and is moving slowly north-northwestward at less than 5 mph. Current Storm Status. Tropical Storm Norma is over very warm waters and should remain in an area of low wind shear ... The ... The Latest: Norma becomes a hurricane over Pacific Norma reaches hurricane strength in Pacific near Mexico: NHC |