The JP McManus-owned gelding produced a fairytale comeback to take the feature contest at the inaugural Dublin Racing Festival, having come close to death when collapsing at Prestbury Park last March.
Not surprisingly, O'Brien is taking a cautious approach with the nine-year-old and will see how the gelding is closer to the Timico Gold Cup before committing him to a challenge for the blue riband event.
"He seems to have come out of the race well," said O'Brien. "I'll have to speak to Frank (Berry) and JP and see what the plan is. Obviously if he was to go to Cheltenham the Gold Cup is the obvious race for him.
"To be honest the most important thing with him was to see how he was a couple of weeks afterwards. He's entered in those races so we don't have to make that decision for another two weeks really. We'll see what the ground is like and see what our other options are. There are plenty of things we can do with him if we don't go there."
Edwulf is 25/1 (non-runner/no bet & best odds guaranteed) with Sky Bet for chasing's blue riband.
The O'Brien-trained Tower Bridge is firmly on course for Cheltenham, but despite holding an entry in the Ballymore Novices' Hurdle, he could still be supplemented for the Albert Bartlett over three miles.
He was a shock 25-1 winner of the Grade One Lacy & Partners Solicitors Novice Hurdle at Leopardstown last time out.
"He's entered in the Ballymore and we might think about supplementing him for the Albert Bartlett," said O'Brien. "If he's well he'll go to Cheltenham for one of the races. Whether it's the two-five or the three-mile, that will be decided closer to the time when we get a feel of what might be running in the two-five and other things.
"Obviously he's Flat-bred and that's probably the reason I didn't have him entered in the three-miler originally, but he looks to stay very well. He looked to stay very well in his bumpers, also, and has a very good attitude.
"His jumping has improved considerably with each race and you'd have to say on the whole he was very good in Leopardstown. He should be better on better ground I'd imagine as well. He won a couple of bumpers very impressively on good ground. He's a big, good looking sort, so he's an exciting horse."
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