Cooper, brought to Elland Road by David Hockaday in 2014, made his 150th appearance for the club on Saturday and marked it with a clean sheet in the 1-0 win at Bristol City.
The 27-year-old has also captained United on 100 occasions - only 11 other players have earned that distinction - and Bielsa couldn't say enough positive things about his skipper ahead of Tuesday's trip to Reading.
"The fact that he represents his team-mates is a virtue itself. It is not up to me to describe the qualities the players see in Liam," he told a press conference, via The YEP.
"I can tell you what I am impressed about. You can't find a better professional than him. He feels love for his profession apart from the fact it is his job.
"He is generous and prioritises the needs of his team-mates before his own needs."
Bielsa is spot-on. Cooper exemplifies the club's 'side before self' mantra, popularised by the great Billy Bremner.
He is the ideal captain and if any Leeds player deserves a taste of Premier League football, it's Cooper.