Nah, Obama will almost certainly nominate someone as is his right. And the Senate will almost certain ignore it as is their right.
And Scotus will have some 4:4 votes that confirm the lower courts rulings until such time as the position gets filled. I’d actually expect SCOTUS will delay hearing the more controversial cases.
What if Obama makes a recess appointment while the Senate is out? Don’t put it past him.
4:4 would keep Obama Amnesty in check for now