We propose a novel mechanism for single spin detection based on the 1/f spin current noise. We postulate that the 1/f spin noise for the tunneling current is similar to the ubiquitous 1/f noise in magnetic systems. Magnetic coupling between tunneling electrons and localized spin S then leads to the peak at Larmor frequency in the power spectrum of the electric current fluctuations Iω2. The elevated noise in the current spectrum will be spatially localized near the magnetic site. The difference in the power spectra taken at the Larmor frequency and elsewhere would reveal the peak in the spectrum. We argue that the signal-to-noise ratio for this mechanism is on the order of one. In addition, we discuss the asymmetric line shapes observed regularly with this measurement. We show that such line shapes are in accordance with the random sampling done with the tunneling electrons. Yet this predicts a line width at least one order of magnitude larger than observed experimentally, which is likely to be due to electrostatic repulsion between the tunneling electrons and temporal correlations in the tunneling process.