Defeat at Stoke on Boxing Day meant the Northern Irishman has exactly the same points haul - 25 - from 19 league matches as that of the now England manager.
Hodgson did not make it past 20 league games as defeat at Blackburn in early January 2011 put an end to a difficult and much-criticised six months in charge.
Rodgers benefits from a position of greater strength as he was the choice of owners Fenway Sports Group in the summer and while his record may not be as good as predecessor Kenny Dalglish, he is working to a different set of objectives than those given to the Scot.
He is a long way from his position becoming under threat and insists progress has been made with plenty more to come.
"I don't think about them to be honest, it is not something I am overly worried about," he said of comparisons with Hodgson's record.
"I have been brought in here to do a job and the owners have been brilliant with me. The backing I've had from supporters has been incredible considering and that is the most important group really.
"They recognise what is going on, they understand like I would understand the frustration.
"Any comparisons I don't really focus on and it is difficult to compare the two groups because there is a lot of youthfulness in this group but yet still a lot of growth left in the team.
"There is a lot of progressing to do because we're 10th in the table and this is a club which wants to be at the very top but the only way you can do that is by reconstruction of the work and building the squad. That is what is going to take a bit of time.