The swelling behaviour in water-dioxane mixtures of hydrogels containing N-isopropylacrylamide (NIPAM) and N,N-dimethylacrylamide (DMAM) is investigated as a function of dioxane content and temperature. The composition of the hydrogels, reported as the mol percentage of DMAM units, x, varies from 0 up to 100. It is found that the hydrogel containing only NIPAM units, GPNIPAM, deswells significantly in the water-rich region, while the hydrogel containing only DMAM units, GPDMAM, presents a pronounced deswelling in the dioxane-rich region. This deswelling becomes less significant with decreasing the DMAM content x, when using the hydrogels of the copolymers GP(NIPAM-co-DMAMx). This swelling behaviour of the hydrogels results from a combination of the lower critical solution temperature-type cononsolvency behaviour of poly(N-isopropylacrylamide) with the upper critical solution temperature-type cononsolvency behaviour of poly(N,N-dimethylacrylamide) in water-dioxane mixtures.