Neon Wolf, unbeaten in three starts this season, emerged as a leading contender for the championship novice events at the Festival when scoring at Haydock in January, beating Elgin by nine lengths.
Fry has been reluctant to commit to either the Supreme or the Neptune throughout the last few weeks, and even on Saturday at Sandown, just 72 hours before the first race of the meeting, neither he nor Neon Wolf's owner Michael Masterson were willing to commit.
However, Fry conceded that with the weather forecast suggesting that conditions will only improve after the weekend, he was edging towards the contest over the longer trip.
"The way it's looking, it's only going to keep getting quicker, so I'd say I'm leaning towards the Neptune," he said.
"That said, I agreed with the owner after Haydock that we wouldn't need to make a decision until the morning of the declarations, so that's what we'll do.
"He schooled really well under Noel earlier this week and I'm looking forward to him running."
Fry's position on the Neptune is likely to only have been strengthened by the news earlier in the day that Finian's Oscar misses the race after a minor setback. In his absence, Sky Bet now quote Neon Wolf as the 13/8 favourite for the Neptune in their non-runner no-bet market.
Fry also gave a positive bulletin over the prospects of Sun Bets Stayers' Hurdle favourite Unowhatimeanharry, but said a decision was still to be taken as to whether American would run in the RSA Chase.
"With him the ground is an important factor," he said. "I'll need to talk to the owner when we have a clearer idea about the weather forecast."