Not on the strength of a filing or an expected approval. Nothing about the process guarantees a decision by a given date, and the spouse's ability to work in the United States depends on the principal being approved, admitted and in valid status first. Resignation is a step for after those facts exist, not before.
Order the household's irreversible steps
Write the sequence down: evidence assembled, application submitted, decision received, admission completed, status evidence confirmed, then employment. Attach each irreversible household decision — resignation, lease termination, school withdrawal, shipping belongings — to the earliest point at which it is genuinely safe. Where a current employer needs notice, discuss a leave or a delayed start rather than a clean break.
If the timeline slips, the plan should lose weeks, not the family's income and housing at once. There is one more ordering point that costs nothing to observe. Where the spouse's current employer might accommodate unpaid leave, a delayed start, or remote work during a transition, ask before resigning rather than after, because the conversation is far easier while the employment still exists.
The same applies to professional registration: allowing a licence to lapse in anticipation of a move can create a reinstatement problem that outlasts the immigration process entirely. Keep the reversible version of each decision available until the principal has been admitted and the status evidence has actually been read.