The Reds finished 37 points behind Barclays Premier League champions Manchester City last season and are currently in the bottom half of the table - 14 points off the pace.
However, Rodgers - who left Swansea for Anfield in the summer - is not put off by the challenge and is thinking long-term at the club.
He told several Sunday newspapers: "There are certainly no regrets about coming here.
"It was always going to be a massive job. I signed a three-year deal but that process of rebuilding will go beyond that. Hopefully I can be here to do that."
Rodgers' predecessor Kenny Dalglish spent in excess of £100million on players.
However, Rodgers added: "There is no quick fix here.
"We have to balance the finances and that is what we are doing. There will be a bit of pain on the way."