Conductive hydrogels are widely used in bioelectronic devices, such as e-skin and flexible devices. However, inevitable swelling of the hydrogel limits the application in real life since it reduces the mechanical stability and electronic performance. Herein, we present a non-swellable conductive hydrogel by using copolyether possessing LCST-type thermo-responsive moiety on the platform of 4-arm poly(ethylene glycol) (PEG), in which two opposing phenomenon such as swelling and shrinking counteract each other. Crosslinking density of the hydrogel was precisely controlled to fine tune the swelling capacity. The resulting hydrogel exhibits a non-swelling property at body temperature of 37 °C. Additionally, the incorporation of triethylene glycol glycidyl ether (TEG) side chains inhibit the crystallinity of PEDOT, leading to stretchable properties. Furthermore, control over the morphology of PEDOT:PSS imparts a high electrical conductivity to the hydrogel, making it highly suitable for bioelectronic devices.