A recirculating delayed self-heterodyne method with a short fiber is proposed for the precise measurement of sub-kHz laser linewidth. Using the recirculating delayed self-heterodyne interferometer with an only 2 km delayed fiber, a series of beat signals with different delay times are simultaneously measured. By simulating and fitting the power spectra of multiple high-order beat signals, the average linewidth of 944 Hz for a laser is obtained, which is basically in agreement with that obtained by the traditional beat frequency method. The proposed method can not only avoid a single measurement error, but also effectively reduce the frequency broadening induced by the 1/f frequency noise, therefore it can be used as an accurate detection tool for the linewidth measurement of a narrow linewidth laser.