We constrained the jet proper motion of PMN J2134–0419 at z = 4.33 to μ = 0.035±0.023mas yr−1 using very long baseline interferometry (VLBI). This is the second most distant source where such a measurement could be made. Another distant blazar SDSS J1026+2542 (z = 5.27) shows jet component proper motions up to μ = 0.112 ± 0.031 mas yr−1. In both cases, the measured values are consistent with the expectations of current ΛCDM cosmological models.