Mixing rules are developed and evaluated for predicting the viscosity of Alberta bitumens saturated with each of N2, CO, CH4, CO2 and C2H6. The viscosity-temperature variation for all bitumens and gases is expressed as [log(mu + 0.8) = +/- 10b1 T(b)2]. A linear cross-correlation between parameters b1 and b2 in the above relationship is identified and used subsequently to derive a one-parameter viscosity equation: [log(mu + 0.8) = THETA(PHI-T)b], where THETA = 160, PHI = 0.008 for all bitumens and THETA = -0.1, PHI = 0.015 for all gases. The two mixing rules examined in this study are: log(mu-BAR + 0.8) = SIGMA-upsilon(i) log(mu(i) + 0.8) and log(mu-BAR + 0.8) = SIGMA-upsilon(i) log(mu(i) + 0.8) + SIGMA-SIGMA upsilon(i) upsilon(j) B(ij), where upsilon represents the geometric mean of mass and mole fractions and B(ij) is a binary viscous interaction term. Predictions for the viscosity of gas-saturated bitumens are validated with over 400 experimental data points for five Alberta bitumens at temperatures from 12 to 120-degrees-C and pressures up to 10 MPa.