Help me locate this poem from my childhood

When I was a kid I had a record album of kids’ poetry. There was one hilarious little poem that went something like this:

I know that you know, and he knows you
And she knows the he knows, I know that is true
But does he know that she knows that I know too (etc)

Something like that, anyway. My recollection, which may be faulty, is that the record album was predominantly light yellow and had a whimsical drawing of a face on it. The publisher was “Spoken Arts” and the poem was by John Ciardi, who was reading his own poem.

But I’ll be damned if I can find such a poem anywhere, although clearly it is entirely consistent with the Ciardi oeuvre. HELP!

This site appears to have all his poems

I have not found it yet but I am still clicking on the links

Thanks - it is not there.

I wonder if the author was Ogden Nash? I’ll have to search on that basis…