The invention relates to an exhaust gas heat exchanger comprising a bundle of pipes which consists of exhaust gas pipes and a bypass channel, and a housing which can be cross-flown by an aqueous cooling agent. The bundle of pipes and the bypass channel joins in a common exhaust gas inlet, wherein an exhaust gas valve is arranged for controlling the exhaust gas flow through the bundle of pipes or the bypass channel. According to the invention, the bypass channel is embodied as a special steel tube (10) comprising a covering (11) which is made of a high-temperature resistant plastic and wherein the housing, which can be cross-flown by the cooling agent, is arranged.