  With the advent of new missions to probe spectral distortions of the cosmic
microwave background with unprecedented precision, the study of theoretical
predictions of these signals becomes a promising avenue to test our description
of the early Universe. Meanwhile, axion monodromy still offers a viable
framework to describe cosmic inflation. In order to explore new constraints on
inflationary models based on axion monodromy while aiming at falsifying this
scenario, we compute the spectral distortions predicted by this model,
revealing oscillatory features that are compatible with Planck data. Further,
the predicted distortions are up to 10% larger than the signals obtained from
the fiducial LCDM model and are observable in principle. However, contrasting
with the predictions of the simplest power-law inflationary potentials
challenges the falsifiability of axion monodromy as it would require to reduce
at least 100 times the current forecast error of the PIXIE satellite, which
shall be possible at some projected observational setups.
