It depends on how you are to receive your payment and if by check what your adjusted gross income level was on your return.
If you received a tax refund by direct deposit then your stimulus payment will be by direct deposit. Those payments are being issued this week.
If you received you refund by paper check then the schedule is as follows according to the House Ways and Means:
"About 3 weeks after the first round of payments are made (the week of May 4th), the IRS will begin issuing paper checks to individuals. The paper checks will be issued at a rate of about 5 million per week, which could take up to 20 weeks to get all the checks out. The checks will be issued in reverse “adjusted gross income” order—starting with people with the lowest income first."
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