Proton impact double ionisation of He has been investigated in the double-encounter model of Gryzinski (Phys. Rev.; 138A:305, 322 and 336 (1965)). The binary-encounter expressions developed by Vriens (Proc. Phys. Soc.; 89:13 (1966), Ibid 90:935 (1967)) along with an accurate quantum-mechanical velocity distribution for the bound electrons in both encounters have been used to obtain double-ionisation cross sections. These results have been compared with the experimental observations and earlier calculations by Gryzinski's method. The variation of sigmasub(+)/sigmasub(++) (single-ionisation cross section/double-ionisation cross section) with incident proton energy is also found to be in qualitative agreement with the experimentally observed variation.