My plate is rather full at the moment.

Translation language

Meaning

I have too much to do.

John: 'My plate is rather full at the moment. 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: 'My plate is rather full at the moment. I simply don't have the capacity to take on more work.'