This work studies the water absorption behaviour of woven glass fibre reinforced cyanate ester composites used in the plenum of the air conditioning pack of aircraft's environmental control system. For absorption tests, samples were immersed in distilled water baths at four different temperatures: 40°C, 60°C, 75°C and 90°C. In general, the composites have shown strong nonFickian behaviour. The progression of mass absorption is described analytically using a combination of Fickian diffusion and relaxation process. Thus for the temperatures of 40°C, 60°C and 75°C a dual stage model was used. At 90°C the material exhibits extreme non-Fickian behaviour due to chemical ageing procedures which cannot be accurately modeled. From the mass control analysis, lots of information is provided for the correlation between the temperature and the diffusion coefficient or the start of the moisture equilibrium. Also, the regions of physical and chemical ageing can be clearly distinguished, giving a good profile of the material behaviour at elevated temperature. The dual stage model that is proposed precisely describes the behaviour of these materials at different temperatures up to 75°C. The chemical ageing that is taking place at 90°C creates another profile that should be investigated in a more detailed level than macro-scale.