"But whatever he wants to do, we will support him", Klopp told the media ahead of Liverpool's Premier League fixture with Stoke City.
Gerrard's appointment would be a massive gamble for the Gers but Souness knows first-hand how that can work out after taking his first job as a manager at Ibrox.
Gerrard is the clear favourite to take the Rangers job in the coming days, with most bookmakers offering odds of around 1/4 at present.
Sky Sports News understands Gerrard, who has been working at Liverpool's academy since retiring in November 2016, is a contender to become the next manager of Rangers at the end of the season.
"When the standard of training is that high, the knock-on effect is improved performances but I just wonder how Stevie would find it in Glasgow".
"I don't really want to speak on it, to be honest, and I think it's hugely disrespectful to the guy who's been put in to help manage Rangers over the last seven or eight months", Rodgers said. "You have to top Celtic and right now Celtic are in the box seat".
Gerrard - in charge of Liverpool's Under-19 team this season - has emerged as the shock frontrunner for the managerial vacancy at Rangers, where Graeme Murty is interim boss following the sacking of Pedro Caixinha in October.
"I think he has enough people around him who can give advice bit I don't have a problem talking to him and telling him about my experiences", he added. That's a big if, but we will be happy and support him.
Gerrard is now Under-18 manager at Liverpool and brought his side up to Ibrox earlier this season to take on Graeme Murty's Under-20s.
"He is a brilliant guy and has been one of my heroes".
"I'm sure it will be positive for him".