The internal quantum statistics of damped soliton-like pulses in Kerr media are studied numerically, considering both narrow- and finite-bandwidth spectral pulse components. It is shown that both the photon-number correlation and the correlation of the photon-number variance between different pulse components can be highly nonclassical even for absorbing fibres. Optimum frequency windows are determined in order to realize strong nonclassical behaviour, which offers novel possibilities of using solitons in optical fibres as a source of nonclassically correlated light beams.