Fleck has resumed negotiations following a misunderstanding with his agent.
It was recently reported both Fleck and Wilson had rejected new deals, with manager Walter Smith expressing concerns the pair, both 18, were putting the prospect of lucrative moves to England before their careers.
However, the Rangers boss has revealed Fleck was unaware negotiations were even taking place on his behalf and instructed his representative to resume talks.
Little, who netted a last-gasp equaliser in Saturday's SPL game with Hearts, said: "We want as many of the young boys to stay at Rangers as possible and make successes of themselves here.
"We have all come through the various youth stages and have won trophies playing in teams at that level.
"The more of us that push on into the first team the better.
"It would be brilliant to think we can go on to play at the highest level with the guys we've been making friends with over the last few years.
"That's probably not going to happen but, for those of us who do get to push on, it's a really big incentive to do well.
"In Danny and John's case, there's no denying how desperate I am to see them stay.
"I know the rest of the players and the fans are the same. I hope they remain here and I'm sure they will."
Responding to concerns Fleck and Wilson would be keen on moving to England, Little added: "There are temptations out there.
"English football is a big attraction and the problems in the Scottish game have been well-documented.
"People have to respect that, whatever the two of them decide to do, it's their choice where they end up playing football.
"But I definitely see something in them that tells me they want to be with Rangers."
Little, 20, feels moving down south could hinder Fleck and Wilson's development.
He added in Rangers News: "If you move down to England, you are unlikely to be moving to a team that's going to be playing European football.
"At this stage, and with the way the club is at the moment, this is a great place for players of my age to be if they want to further their careers."