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So best of my knowledge in this situation they will instead mail you a check. And that should be mailed out starting May 15th. Reaching that conclusion based on this article which cites SSA page directly:
Stimulus payment timeline for all SSI recipients
Here’s a quick cheat sheet:
SSI recipients who get their benefits through direct deposit started seeing their stimulus payments on May 13.
SSI recipients who get their benefits by check, or if they used the non-filers tool and left the bank account info blank, will get their payment by mail. The IRS will begin mailing paper checks on May 15.
SSI recipients who have an Individual Representative Payee and normally get their benefits direct deposited or put on a card will get their stimulus payment the same way starting May 27. If you normally get a check, that will come later.