How to I amend my federal & stare returns to add a new Schedule K-1?

I am preparing a 1040x return to add a new Schedule k-1 for a partnership to my return. The new Schedule k-1 did not add any additional income, credits, losses or deductions to my return. Since the 1040x did not change my reported income, deductions, credits losses or taxes, do I need to file an amendment due to the new Schedule K-1 to my Illinois state return?

Thanks,

RollieH