An aerodynamic measurement probe intended to measure a local angle of attack of an airstream flowing along the fuselage of an aircraft, comprises a support and a shaft that is able to rotate about a longitudinal axis with respect to the support. The support and the shaft are configured to form between one another a plurality of successive chicanes about the longitudinal axis. Each chicane makes it possible to transport liquid that has penetrated into the chicane: along a first path, under the effect of gravity, towards an evacuation circuit associated with the chicane and formed in the support, and along a second path, and counter to the effect of gravity, towards a successive chicane or towards the shaft. The evacuation circuit of each of the chicanes makes it possible to evacuate liquid out of the support under the effect of gravity moving away from the shaft.