The Commissioner of the Social Security Administration posted this on 4/3/2020:
The Department of the Treasury (Treasury) announced on April 1 that Social Security beneficiaries who are not typically required to file tax returns will not need to file an abbreviated tax return to receive an economic impact payment. The Internal Revenue Service (IRS) will use the information on the Form SSA-1099 to generate $1,200 economic impact payments to Social Security beneficiaries who did not file tax returns in 2018 or 2019.
Treasury, not Social Security, will make automatic payments to Social Security beneficiaries. Beneficiaries will receive these payments by direct deposit or by paper check, just as they would normally receive their Social Security benefits.
Please note that we will not consider economic impact payments as income for SSI recipients, and the payments are excluded from resources for 12 months.
Kirsch & Clark also found this additional information:
Economic Impact Payments will not be taken away to reduce overpayments; however, they can be taken away to pay overdue child support.