The present inventions refers to a passivation composition for depositing a chromium-comprising passivation layer on a zinc or zinc-nickel coated substrate, the composition comprising: (i) trivalent chromium ions, (ii) at least one complexing agent for the trivalent chromium ions, being different from the at least one corrosion-inhibiting agent, and (iii) at least one corrosion-inhibiting agent, which is (A) one or more than one substituted azole compound and/or salts thereof, together in a total concentration below 10 mg/L, based on the total volume of the passivation composition, and/or (B) one or more than one unsubstituted or substituted aliphatic organic acid with at least one mercapto-group and/or salts thereof, together in a total concentration in a range from 0.001 mg/L to 100 mg/L, based on the total volume of the passivation composition.