How can replace string in quotes with string from buffer?

I'm doing the following to copy some text inside quotes and paste it in a different place (inside quotes as well):

di"
go-to-buffer-for-copy
copy-string (ex. yi")
then-go-to-prev-buffer
paste-to-string (p)

But I want to do it in a simpler way, like this:

yi"
go-to-buffer-for-paste
replace-inner-quotes-to-yanked-text