  We consider the Synchrotron Self-Compton (SSC) model for jets in active
galaxies in which produced $\gamma$-ray photons can be absorbed in collisions
with the synchrotron radiation already at the emission region. In terms of such
modified SSC model, we argue that the higher emission stages should be
characterised by $\gamma$-ray spectra extending to lower energies due to the
efficient absorption of the highest energy $\gamma$-rays. As an example, we
show that different emission stages of the nearby radio galaxy NGC 1275 could
be explained by such scenario.
