A method and apparatus to non-invasively measure instantaneous blood pressure using pulse wave velocity are disclosed. A measurement component is affixed to a patient proximate to a blood vessel. One or more sensors, such as an ultrasound sensor, is included in the measurement component. The measurement component substantially simultaneously measures the pulse wave velocity of the vessel and the instantaneous blood velocity within the vessel. The measurement component computes the instantaneous blood pressure of the vessel using, for example, the water hammer equation. The one or more sensors may be contained in a disposable patch or collocated with another sensor, such as a patient-monitor sensor, or the like.