No, this won't delay the refund on your original return.
After you receive your refund, you need to amend your return and add the interest income.
Because this is more income, you may need to pay back a part of your refund. Just do the amendment after February 15 and pay back any tax due by April 15 and you will be fine.
Follow this link for information about completing an amendment in TurboTax.
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