Spontaneous Raman spectra of highly excited UF6 molecules in the vicinity of the mode v(1) are studied. The spectra measured are interpreted within the framework of the model suggested, which presumes the dominant role of statistical inhomogeneous broadening in the formation of transition spectra in the vibrational quasicontinuum. A good agreement is obtained between the theoretical and experimental spectra of UF6 molecules heated to T-vib = 1320 K. The relationships are found between the vibrational energy of the UF6 molecule and the main parameters of its Raman transitions in the neighborhood of the frequency of the mode v(1), such as the intensity, width, and maximum positions of their profiles.