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From what I have seen, the IRS should be making SSA (including SSDI) deposits between 4/27 - 5/1. But I haven't seen an exact date yet, and I don't believe they will be updating the portal before then for those receiving those benefits, but it is the IRS, so you never know.
They have stated they will be depositing the stimulus money into whatever account or card you currently get benefits into. Or if you don't have a card or account, by mail, however you currently receive benefits. Here's an exert from the IRS faq page:
I haven’t filed a tax return for 2018 or 2019 and don’t need to file tax returns for those years. I receive Social Security, SSI, or Railroad Retirement benefits. What do I need to do to get a Payment?
You are not required to file a tax return and will automatically receive a $1,200 Payment if you received Social Security retirement, SSDI, survivors benefits, SSI, or Railroad Retirement benefits in 2019. You do not need to contact the IRS, Social Security Administration (SSA), or Railroad Retirement Board (RRB). The IRS will use the information from your 2019 benefits to generate a Payment to you if you did not file tax returns in 2018 or 2019. You will receive your Payment as a direct deposit or by mail, just as you would normally receive your federal benefits.