Defeat at Stoke on Boxing Day meant the Northern Irishman has exactly the same points haul - 25 - from 19 league matches as Hodgson did when he was removed from his role in early 2011.
But Rodgers says the fact he was sought out by Liverpool's owners Fenway Sports Group, and given time to rebuild their squad, means he feels no pressure over his future on Merseyside.
"I have been brought in here to do a job and the owners have been brilliant with me. I don't think about them (the comparisons) to be honest, it is not something I am overly worried about," Rodgers said ahead of their trip to QPR on Sunday.
"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. I always say it's like a good meal - I'm not a great cook but a good meal takes a wee bit of time but also to offer a good meal you need good ingredients.
"That is something we will do over time and hopefully put a nice meal on the table for supporters."
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