It would be awfully convenient for Obama if it did.
Heritage has the answer:
The Constitution, in Article I, section 5, plainly states that neither house of Congress can recess for more than three days without the consent of the other house. The House of Representatives did not consent to a Senate recess of more than three days at the end of last year, and so the Senate—consistent with the requirements of the Constitution—is having pro forma sessions every few days. In short, Congress is still in session, and no one in Congress is saying (or can reasonably say) otherwise. It does not matter a wit that most Members of Congress are not in town voting on legislation, because ending a session of Congress requires the passage of a formal resolution, which never occurred.
So, yeah. We have constitutional law professor, an academic, for a President who naturally believes himself above that which he studies; in this case the Constitution.