Direct estimates of the radial diffusion coefficient &kgr;rr for 1.3--2.3 MeV protons in interplanetary space are made by comparing simultaneous observations of the diffusive anisotropy and radial gradient of these particles within recurrent streams. The 1.3--2.3 MeV proton anisotropy has been measured at 1 AU by the Caltech Electron/Isotope Spectrometers on IMP--7 and 8 during recurrent proton events for which measurements of the radial intensity gradient have been reported. The resulting values for &kgr;rr near 1 AU range from (3 to 9) ¿1020 cm2/sec, corresponding to scattering mean free paths between 0.03 and 0.1 AU.