The Whites have not featured in the Premier League since 2004 and have become also-rans in the Championship over the past few years.
This season, though, things could be different, as under head coach Garry Monk, it is looking very promising.
The West Yorkshire outfit are in the running for the playoffs and are doing well at the moment.
Despite the narrow 1-0 defeat to Derby County away from home at the iPro Stadium in the Championship, Leeds are only four points behind sixth-placed Birmingham City.
Leeds goalkeeper Green, who is 36 years of age and joined the club in the summer transfer window after leaving Queens Park Rangers at the end of the 2015-16 season, has revealed that the mood in the camp is that of realism.
“For me, the atmosphere’s realistic,” Green told The Yorkshire Evening Post. “No-one’s going to play a perfect game of football every week and no-one’s going to get everything 100 per cent right.
“We aren’t Barcelona and the supporters who come to Elland Road aren’t watching (Lionel) Messi. With Messi, he misplaces one pass and everyone raises their eyebrows.
“Obviously we’re striving to be as good as we can be but you need standards which are high but realistic. It feels like the balance is right at the moment.”
Leeds should return to winning ways in the Championship on Tuesday evening when they take on Wigan Athletic at Elland Road.
Monk’s side are certainly showing signs that they can sneak into the top six of the table by the end of the ‘regular’ season.