A medical system for minimally-invasive measurement of blood flow in an artery (AT). An interventional device (IVD) with an optical fiber (FB) comprising a plurality of temperature-sensitive optical sensor segments, e.g. Fiber Bragg Gratings, spatially distributed along its longitudinal extension is configured for insertion into an artery (AT). A temperature changer (TC) is arranged in the WD to introduce a local change in temperature (ΔT) of a bolus of blood in the artery, to allow thermal tracking over time with the optical fiber (FB). A measurement unit (MU) with a laser light source (LS) delivers light to the optical fiber (FB) and receives light reflected from the optical fiber (FB) and generates a corresponding time varying output signal. A first algorithm (A1) translates this time varying output signal into a set of temperatures corresponding to temperatures at respective positions along the optical fiber (FB). A second algorithm (A2) calculates a measure of blood flow (BF) at respective positions along the optical fiber (FB) in accordance with a temporal behavior of said set of temperatures. Such system can be used to quickly scan an artery for diagnosing stenotic regions without the need for pullbacks or injection of toxic liquids. A good spatial resolution of the blood flow measurement can be obtained in real-time.