By checking two years of seismicity on the left-lateral strike-slip Mosha fault, the phenomenon of aftershocks migration toward the end of eastern part of the Mosha fault for the April 2, 2020, MN = 5/0, earthquake was detected. The aftershocks migration on the left-lateral strike-slip Mosha fault can be due to the transfer of stress towards the end of eastern part of the fault or as a result of the release of remote interaction waves along the Mosha fault. This can be considered as a long-term or intermediate-term precursor for occurrence of a large earthquake (Mw≥5.5) at the end of the eastern part of the Mosha fault and therefore, an expectable danger to the city of Tehran and the surrounding areas. It seems necessary to monitor the seismicity of Mosha fault, carefully.