Abstract We present and discuss the results of the Giant Metrewave Radio Telescope (GMRT) H i 21-cm line mapping for five isolated low-mass (Mbary∼(2–8)× 107 M⊙) eXtremely Metal Poor (XMP) dwarfs [12+log (O/H)=7.13-7.28], selected from the Nearby Void Galaxy (NVG) sample. All the studied void dwarfs show disturbed morphology in the H i maps with the angular resolutions of ∼11″ to ∼40″. We examine the H i morphology and velocity field and the relative orientation of their stellar and gas body spins. We discuss the overall non-equilibrium state of their gas and the possible origin and evolution of the studied void dwarfs. The most straightforward interpretation of the ubiquitous phenomenon of the gas component non-equilibrium state in these and similar void dwarfs is the cold accretion from the void filaments and/or minor mergers. The cold gas accretion in voids could be linked to the presence of small filaments that constitute the substructure of voids.