I'm swamped at the moment.

Meaning

I'm very busy right now.

Examples

• John: 'Can you help me with this report?'
• Alice: '<b>I'm swamped at the moment</b>, but I can look at it later this week.'
• John: 'Sorry, <b>I'm swamped at the moment</b>; can we reschedule?'
• Alice: 'Are you free to chat now?'