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Gallagher, 22, is enjoying a blistering season on loan at Crystal Palace, scoring eight goals as he continues to enhance his budding reputation.
He's starred under Patrick Vieira, bringing creativity and energy to the middle of the park.
So much so, Charlie Austin reckons Jurgen Klopp should plot a move for the England midfielder.
He believes Gallagher would make a great long-term replacement for Henderson at Anfield.
💪 “I think a lot of football fans would like to see Conor Gallagher at their club!”— talkSPORT (@talkSPORT) April 26, 2022
🔴 “When Jordan Henderson moves on, or retires, he would be great for Liverpool..”
Charlie Austin says he’d love to see Gallagher play at #LFC, down the line. 👀 pic.twitter.com/f73x7NiECG
Speaking on talkSPORT, he said: "I think for any football team would love to have Conor Gallagher.
"He’s so energetic, you look at him the way he plays, I think a lot of football fans see him play and would think 'I would like him to be at my club.'"
Asked by host Andy Goldstein if he would want the promising player at Liverpool, Austin replied: "I say yes.
"I said he would be, not a replacement, not saying this for Jordan Henderson.
"But when Jordan moves on, or retires, or comes into a new football role, he [Gallagher] would be great for Liverpool."
Austin added: "Him coming to Chelsea, I think it’s a perfect opportunity for him. As players, when an opportunity comes, you’ve got to take them and this one, I think Conor Gallagher will be looking at, as well as his representatives.
"Whether they are thinking what we can do next year.
"I think he will be looking at it and thinking, 'I’m going to try my best and give everything at Chelsea.'"
Gallagher has enjoyed loan spells away from Stamford Bridge as he awaits his first run out for the Blues at senior level.
He's had stints at Charlton Athletic and Swansea City in the Championship not to mention West Brom last season.
But he's been a revelation at Palace, staking a claim to be involved in Thomas Tuchel's Chelsea squad for next season.