We report on measurements of the angular size of Jovian radio sources measured by the URAP instrument on the Ulysses spacecraft. The angular size is found to be substantially larger than the geometric size of the source as seen from Ulysses due to the scattering of the radio waves by fluctuations in the electron density along the path of the radiation. The angular size varies with wavelength as expected for such scattering, and the magnitude of the scattering is consistent with estimates using a statistical theory. The magnitiude of the scattering is found to vary substantially for different radio events, most likely due to changes in the density and/or fluctuation level along the path of the radiation.