上句遗漏了介词with，应为 I’m done with my essay. done在此为形容词，句子为系表结构，如果done的语义不完整，可以用doing或with介词短语补足。例如韦氏高阶词典例句：.

I'm (almost) done reading this book.

Are you done with the scissors?

语料库更多例句：

I am done discussing these matters here.

I am done talking to leftists, democrats, so called progressives, liberals.

And I will try to find out this book in the future when I am done with this long writing.

I am done with this conversation now.