I have answered your question.
It is correct. You can argue that it sounds funny all day long but like I have said and Marylin has said since a few hours ago
it is technically correct. Again you can argue that this is just a technicality but we will turn around and say, "So...." To the question "Is it correct? Can I say this?" the answer is
YES.
To the question "Should I say this?" the answer is
NO
We have all agreed that it isn't natural or it isn't something we would say or should teach, but it is
technically correct.