We showed in a previous study that a water-nonionic surfactant system, where the surfactant is a 9:1 mixture of tetraethylene glycol monodecyl ether (C10E4) and pentaethylene glycol monodecyl ether (C10E5), forms a disconnected lamellar (L-alpha) phase. Thus, the isotropic phase spans the whole concentration range from the water-rich L, region to the surfactant-rich L-2 region of the phase diagram. The L-1 and L-2 regions are connected via an isotropic channel that separates the two regions of the L-alpha phase. In this letter, we monitored the structural evolution of the isotropic phase along a path through this isotropic channel via H-1 NMR self-diffusion measurements. We used this technique because it enables us to distinguish between discrete and bicontinuous structures by comparing the relative self-diffusion coefficients (obstruction factors) D/D-0 of the solvents (i.e. of water and surfactant in the present case). We found that the obstruction factor of water decreases whereas the obstruction factor of the surfactant increases with increasing surfactant concentration and increasing temperature. This trend is interpreted as the transition from a water-continuous L-1 region, which contains discrete micelles, to a bicontinuous structure, which may extend to very high surfactant concentrations. Although there is good evidence of bicontinuity over a broad concentration range, there is no evidence of inverse micelles or any other microstructure at the highest concentration studied in the surfactant-rich L-2 phase.