Not until he broke the promise he swore on the ring and led Sam and Frodo to shelob.
I think he was. It's not like he could have survived 10 minutes without it considering he had lived on it for 5 centuries.
I also think that the was doomed, but because Frodo cursed him.
"Down, down!' he gasped, clutching his hand to his breast, so that beneath the cover of his leather shirt he clasped the . 'Down you creeping thing, and out of my path! Your time is at an end. You cannot betray me or slay me now.'
'Begone, and trouble me no more! If you touch me ever again, you shall be cast yourself into the .'
Even after Frodo cursed him and he knew the outcome, he couldn't keep away from the Ring.