If you do not have any other information, this conversion is afaik impossible.
Ck Ong The answer which Thomas Mayerhöfer tried to communicate to you is that there is no simple relationship and therefore no simple formula. The absorption coefficients are determined by Fermi's golden rule (which was not derived by Fermi but by Pauli by the way). You can simulate the necessary transition dipole moments/oscillator strengths (two approaches, but the physics is the same) by TDDFT or other linear response quantum chemistry procedures, but that is not a straightforward formula and requires quite some experience in order to not generate bogus simulations.
Concerning your problem at hand, the only possibility is imho that you measure the transmittance of your fiber at the wavelength you are interested in and determine the absorption coefficient from the measured transmittance.
If you have a model for the wavelength dependence of the fibre losses (both absorption and scattering), you can use the model and scale using your value at a given lambda. How does such a model apply to your actual fiber is the question
Raul Rangel-Rojo Using such a model is certainly possible, but requires that somebody else has already performed spectral measurements and determined the model parameters. In my experience such models are focused on spectral regions with strong absorption and less suitable to predict the very small absorption coefficients in transparency regions.
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