I'm swamped.

Meaning

I'm extremely busy.

Examples

• John: Can you help me with this report?
• Alice: I'm sorry, <b>I'm swamped</b> right now. I have too much on my plate.
• John: I understand, maybe later this week?
• Alice: I wish I could, but honestly <b>I'm swamped</b>. Let's try next week.