If I just e-filed and would've been refunded by direct dep but then amended both returns and now owe some back, do I pay what's owed or should I expect corrected refunds?

I just filed electronically and had both my federal and CA returns accepted. I was scheduled to receive refunds from both entities by direct deposit. I realized I forgot to enter some taxable income and completed amended returns for both entities which I will have to mail. The corrections resulted in more tax being owed by me, but the original refunds are still greater amounts. Should I pay what I owe as a result of the amended returns and expect the original refunds or will the refunds be adjusted before I receive them?