A distributed Brillouin optical fiber sensing system employs a sensing optical fiber that supports two or more (i.e., few) guided modes. Pump light supported by one of the guided modes is used to form a dynamic Brillouin grating (DBG). Probe light supported by at least one of the other guided modes interacts with the DBG to form reflected probe light that is received and analyzed to determine a Brillouin frequency shift and a reflection location, which in turn allows for making a measurement of at least one condition along the sensing optical fiber. Supporting the pump and probe light in different guided modes results in the optical fiber sensing system having a higher spatial resolution than sensing systems where the pump light and probe light share a common guided mode.