Listen I got laid off in Dec, took some time and started searching in Jan, and secured an offer after roughly 5 weeks of search.
if you’re an immediate joiner just say that. I think there’s no point in hiding the fact and companies for which it’s a negative signal is not worth joining in the first place, since layoffs are common now, and it’s not your fault you were laid off, and the layoff doesn’t reflect on your performance or skills.
Also if they will ask for your payslips, it might contain your severance, leave encashment etc which you’ll have to explain anyway to the next employer.