The temporal modulation transfer function (TMTF) reflects the temporal resolution of the auditory system. The measurement of TMTF is based on a psychoacoustic paradigm that is not applicable in the clinic. Previous studies addressed that amplitude modulation following responses (AMFRs) could be used to objectively evaluate listeners' temporal auditory acuity, but no existing method could predict TMTF from AMFRs. The present study proposes a method as an attempt to do so. A logistic function was derived from the simulation of AMFRs on human scalp. To evaluate the new method, both AMFRs and behavioral TMTF experiments were conducted with 12 normal hearing listeners. The test showed that the predicted thresholds were correlated with, but deviated systematically from the behavioral thresholds at four modulation rates (32, 64, 128 and 256 Hz). Limitations of the method are discussed. © 2018 The Author(s). Published by S. Hirzel Verlag · EAA. This is an open access article under the terms of the Creative Commons Attribution (CC BY 4.0) license (https://creativecommons.org/licenses/by/4.0/).