  We study the generation of cosmological perturbations during the Hagedorn
phase of string gas cosmology. Using tools of string thermodynamics we provide
indications that it may be possible to obtain a nearly scale-invariant spectrum
of cosmological fluctuations on scales which are of cosmological interest
today. In our cosmological scenario, the early Hagedorn phase of string gas
cosmology goes over smoothly into the radiation-dominated phase of standard
cosmology, without having a period of cosmological inflation.
