We have performed a first-order QCD calculation to evaluate a possible contribution of large- Q0 2 scattering to the pp̄/pp total inelastic cross-section difference at the CERN intersecting storage rings (ISR). We found that at s =31 GeV and for Q 2≳6 GeV 2 there is a small (a few microbarns, but definitely not 0) difference in favour of the pp̄ reaction. This effect is confined to the central rapidity region (| y|≲1) and diminishes with increasing centre-of-mass energy.