No, that is not correct. If you owe and pay any tax based on the money you earned in OK, you will receive a credit for that on your IL tax return. Also, when you prepare the OK nonresident return, you will be given an opportunity to allocate your income - all of your pension income should be allocated to your resident state and subtracted from income on your OK return, see details below.
For Oklahoma Nonresidents - Individuals are required to file if they received $1,000 or more Oklahoma-source gross income, which includes:
• Salaries, wages, and commissions for work performed in Oklahoma.
• Income from an unincorporated business, profession, enterprise, or other activity as the result of work done, services rendered, or other business activities conducted in Oklahoma.
• Net rents and royalties from real and tangible personal property located in Oklahoma.
• Gains from the sales or exchanges of real and tangible personal property located in Oklahoma.
• Income received from all sources of wagering, games of chance, or any other winnings from sources within this state.
Nonresidents do not include any entry for the following:
• Taxable IRA distributions (line 4).
• Taxable pensions and annuities (line 5).
• Taxable Social Security benefits (line 6).
• Taxable refunds (line 8).
• Alimony received (line 9).
• Unemployment compensation (line 14)
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