White's contract at Elland Road expires in June, and Parkhead boss Neil Lennon is thought to be keen on the 20-year-old who can play either left-back or on the wing.
White, an English-born, Republic of Ireland under-21 international, has been in talks with Leeds about a new deal since the end of last year but has yet to sign and seems keen to explore his options elsewhere.
That has alerted Celtic to his availability, with Leeds due compensation for a player raised in their youth system should he elect to move on.
Snodgrass, who was at Hampden to help promote the Tesco Bank Football Challenge, hopes White can be persuaded to stay with Leeds, but outlined the qualities that have brought the player to Celtic's attention.
"Aidan White is a great young prospect," said the Scot. "One of his best attributes is his pace. He's young, he's hungry and very fit. He's an athletic lad and he's done really well for us.
"He's been offered a new contract and I hope he stays with us because he's a very exciting young talent.
"If he goes to Celtic then I will wish him all the best. I think he's first-class. He will do really well no matter where he goes.
"He has that lack of fear that you have when you are a young kid. He just goes out and plays and gets on with it. He's a lovely kid and I wish him well wherever he goes but I hope he stays at Leeds."
White played 39 times for Leeds last season including the narrow FA Cup defeat away to Arsenal in January.
Despite the loss, Snodgrass was impressed with his team-mate's contribution against Premier League opposition.
He added: "I've seen him play in the Emirates against Theo Walcott and against Andrei Arshavin and they didn't get by him once.
"He's a great defender and a great player. He can play left-back but he can play on the wing and he is impressive there too."
Neil Warnock, the Leeds manager, hoped White would commit his future to Leeds.
"I've told him that he's got to be careful that he doesn't go for money and doesn't play a game," he said recently. "The grass isn't always greener."
Snodgrass, meanwhile, revealed his disappointment at missing out on Scotland's friendly against the USA this week after Leeds advised Craig Levein that the player needed to stay behind for treatment on his back.
He added: "I spoke to Craig beforehand and he told me I was going to start the game against America but I had to pull out because of a rehab programme that Leeds have given me for my back.
"It was a big decision but I wanted to be back fit and ready for pre-season. It's a friendly and if it was a qualifier it would be a different story. Sometimes you have to put your body on the line, but I need to make the right decision so I'm ready for pre-season."