Here`s what we know — the White House, the Senate and the House of Representatives agree that a second stimulus package is needed, as well as a second economic assessment. The fact that these divided units at least manage to agree on this point gives hope. 9, 2020. Republicans and Democrats have resumed discussions on a second stimulus package, which must be passed before a possible partial ceasefire on Dec. 11. (AP Photo/Susan Walsh) Eligible Americans received the first stimulus money at different times, based on five de facto priority groups. For example, people who have set up a direct deposit with the IRS – an electronic transfer of funds to their bank account – should receive their payment weeks before those who receive a paper check or prepaid eIP card by mail.