Thiobis phenolic antioxidants are efficiently dry or melt blended with a tree-resistant, crosslinkable polyethylene by first forming a blend, preferably a dry blend, of the antioxidant with a polyalkylene glycol (PAG), and then mixing the blend with the polyethylene. The incorporation of thiobis phenolic antioxidant and PAG blend into polyethylene provides the PE with high oxidative induction time (OIT) which is a measure of the oxidative stability of the PE.