Magnetic dilution of a well-established Kitaev candidate system is realized in the substitutional Ru1−xRhxCl3 series (x = 0.02 − 0.6). Optimized syntheses protocols yield uniformly-doped single crystals and polycrystalline powders that are isostructural to the parental α-RuCl3 as per X-ray diffraction. The Rh content x is accurately determined by the quantitative energy-dispersive X-ray spectroscopy technique with standards. We determine the magnetic phase diagram of Ru1−xRhxCl3 for in-plane magnetic fields from magnetization and specific-heat measurements as a function of x and stacking periodicity, and identify the suppression of the magnetic order at x ≈ 0.2 towards a disordered phase, which does not show any clear signature of freezing into a spin glass. Comparing with previous studies on the substitution series Ru1−xIrxCl3, we propose that chemical pressure would contribute to the suppression of magnetic order especially in Ru1−xIrxCl3 and that the zigzag magnetic ground state appears to be relatively robust with respect to the dilution of the Kitaev-Γ-Heisenberg magnetic lattice. We also discovered a slight dependence of the magnetic properties on thermal cycling, which would be due to an incomplete structural transition.