Gerrard will not want to ruin his chances of landing a similar dream role to the one Lampard had in his grasp before seeing it snatched away from him.
And he may do well to heed the words of Ray Parlour, who believes the Reds legend should continue to cut his teeth at Ibrox.
“Look, he’s going to be Liverpool manager one day, but whether it is a stepping stone to (become) Liverpool manager, I don’t know,” Parlour told talkSPORT.
“I still think he has a lot to prove up in Scotland, saying ‘can we win it again?’.”
Another title triumph in Scotland wouldn’t hurt Gerrard’s chances of one day succeeding Klopp – but a risky stint at a Premier League club desperate for success could do more harm than good.