have lots on (one's) plate(redirected from we are having lots on our plate)
have lots on (one's) plate
To have a large or excessive amount of things to do or deal with. I just have lots on my plate right now while I'm finishing up my degree and doing this huge project for work. A: "Would your department be able to investigate this case for us?" B: "Sorry, we have lots on our plate at the moment."
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