Study of eye movements and measurement of the resulting biopotentials, referred to as electrooculography (EOG), may find increasing use in applications within the domain of personalized medicine provided that the limitations of conventional “wet” electrodes are addressed. To overcome the limitations of conventional electrodes, in this paper, we report for the first time the use and characterization of graphene-coated electroconductive textile electrodes for EOG acquisition. The feasibility of the developed gel-free, flexible, dry textile electrodes was experimentally authenticated through side-by-side comparison with pre-gelled, wet, silver/silver chloride (Ag/AgCl) electrodes, where the simultaneously recorded signals displayed correlation of up to ~87% over durations reaching hundred seconds and repeated on eight participants. This outstanding performance demonstrates the potential of graphene textiles in wearable devices based on sensing and processing of electrooculograms.