S&W OEM grips

I'm selling (or trying to) my S&W OEM grips that I removed from my 4013TSW. According to the S&W website, replacement grips for the 4013TSW also fit the Shorty .40 and the 6906 so, I assume, my original OEM grips will fit these same three (3) models. Now, I have a guy interested; but, he has a 4053.

Does anyone know if his 4053 will accept the 4013TSW grips?

Thanks