Diffusion of Na-22 in ion-conducting xNa(2)O .(1 - x)B2O3 glasses (x = 0.2 and 0.3) was investigated under standard conditions and under high pressure employing the radiotracer sectioning method. A slight decrease of the diffusion coefficients with increasing time of diffusion annealing is observed and attributed to a structural relaxation of the glass network. The temperature dependence of diffusion was measured below and also in a small temperature range above the glass transition temperature (T-G). Below T-G the diffusion coefficients obey Arrhenius relations. Diffusion in the glass with x = 0.3 is fast and associated with an activation enthalpy of 71 kJ mol(-1). The diffusion coefficients of the glass with x = 0.2 are significantly smaller with an activation enthalpy of 112 kJ mol(-1). The activation volume Delta V of Na-diffusion in 0.3Na(2)O . 0.7B(2)O(3) was determined from high pressure diffusion studies at 623 K. A value of 0.52 molar volume of the glass matrix was obtained. According to our knowledge this is the first measurement of an activation volume of diffusion in ion-conducting glasses. The present results will be discussed and compared with de conductivity data for berate glasses and diffusion results for other oxide glasses reported in the literature.