Scotland international Snodgrass, who has a year left on his current contract at Elland Road, has yet to commit himself after being offered a lucrative new deal by the club.
Warnock said: "We made a special offer to Snods because he's a special player for Leeds at the minute, he's been here a long time, he's seen a lot of his team-mates depart and I felt straightaway we have to offer him what I think is a top-rate contract to keep a lad for 12 months. That's all I've asked him to do and I'm still optimistic on that."
Striker Ross McCormack also has 12 months remaining on his contract, while winger Aidy White will be a free agent this summer. All three players are still in talks with the club.
Warnock added: "I'm on the edge with all of them. I've told them realistically what I think they're worth on the wages side. There's more to wages in Aidy's case, although I think we've offered Aidy a really good contract.
"But I've said to Aidy he's got to be careful he doesn't go for money and doesn't play a game. The grass is not always greener on the other side and that's what I've said to the players."