Conductive hydrogels are widely used in bioelectronic devices such as artificial skin and flexible electrodes. However, inevitable swelling of the hydrogel limits the application in real life since it reduces the mechanical and electronic performance. Herein, we present the non-swellable conductive hydrogel network 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. Thiol-ene reaction was employed to introduce the crosslinking of hydrogel with the PEDOT:PSS. The resulting hydrogel exhibited non-swelling property under body temperature of 37 ºC, while possessing a high electrical conductivity necessary for bioelectronic devices.