It is shown that for a binary mixture of dilute gases characterized by the Boltzmann equation the Burnett contribution for the fluxes can be evaluated without solving the integrodifferential equations for the corrections to the distribution function to third order in the Chapman–Enskog method. The conservation equations can be closed knowing only the second‐order solution (in the Chapman–Enskog method) to the Boltzmann equation which is well known. By considering a trace component of light particles in a heavy gas (Lorentz approximation) all the higher‐order transport coefficients for the soft‐sphere model can be evaluated and from these results an estimation of the Burnett corrections to the Navier–Stokes regime is given. Other pertinent results of this calculation are also discussed.