Absolutely, and uranium mining will require more energy over time, as the best sources get depleted.
Still, AFAIU,
1) the mining is not the largest energy requirement (security enforcement measures and refining require much more energy and infrastructure)
2) In the golden age of nuclear, it was commonly thought that we would have breeder reactors by now, that would make the fuel processing hundreds of times more efficient, and thus the question would be obsolete... Unfortunately, only India and Russia are still actively working on that technology.
Still, AFAIU,
1) the mining is not the largest energy requirement (security enforcement measures and refining require much more energy and infrastructure)
2) In the golden age of nuclear, it was commonly thought that we would have breeder reactors by now, that would make the fuel processing hundreds of times more efficient, and thus the question would be obsolete... Unfortunately, only India and Russia are still actively working on that technology.