My plate is rather full at the moment.

Meaning

I have too much to do.

Examples

• John: '<b>My plate is rather full at the moment.</b> I'm already managing several projects concurrently.'
• Alice: 'Could you assist with the upcoming conference arrangements?'<br>
• John: 'Can you take on extra responsibilities for this project?'<br>
• Alice: '<b>My plate is rather full at the moment.</b> I simply don't have the capacity to take on more work.'