The majority of banks that accept direct-to-card deposits support what is called "Fast Funds", which means your money typically lands within 30 minutes (most times, much faster).
A small number of banks do not support Fast Funds. For those, deposits can take 1 to 2 business days to appear.
If you want to ensure near-instant access to your withdrawals, here is a list of popular banks with strong support for the Fast Funds feature:
CIBC Caribbean, Republic Bank, National Commercial Bank and JMMB.