I am very sorry for not being able to give you a clear answer, because I have never used gamma irradiation in the synthesis of composite hydrogels. I wish you to be successful in finding the appropriate advice from other researchers.
It seems convenient to ensure that the water used to form the hydrogel has a relatively low content of dissolved gases, far from saturation. For that it seems convenient to use distilled water (or otherwise boiled), while avoiding aeration by swirling during the sol liquor agitation, in case such a stage occurs prior gelation. Also possible would be to purge the water by sparging a N2 gas stream, or to use sonication of the water (or liquor) followed by reduced pressure. Also convenient could be to decrease temperature during irradiation of the hydrogel.