The Undying Lands

Originally Posted by narfforc

There is something somewhere (I think in the Akallabeth) that mentions; It is not the Land of Manwe that makes its people deathless, but the Deathless that dwell therein..and something like that. The hobbits are mortals and are accounted among men I believe, so where there spirits go only Mandos knows. The Old Took is dead and not wandering around the Undying Lands, if they ever meet it will be when the hobbits die.

Do you think it would have been possible for Sauron to ever conquer the Undying Lands? Or would this test the patience of Eru too far for him to dare try this?