The 40-year-old was appointed by the Reds after making his name with Swansea, who cemented their Premier League status last season with a widely-lauded devotion to tiki-taka.
And, though Carragher says Liverpool's footballing philosophy has always revolved around pass and move, the centre-back believes Rodgers has stepped things up.
"We've always played football at the club but I would say that Brendan Rodgers has taken it on another level in terms of playing football," Carragher told the club's official website.
"He wants us to play even more football than I have ever been brought up to play. But we've always been a passing club and that will never change."
|16/1||Liverpool are 16/1 with Paddy Power to finish in the top four this season|
The veteran also admitted he had doubts over whether he could adapt to Rodgers' new techniques but feels he has surpassed expectations and hopes to continue doing so until his retirement at the end of the season.
"At the start of the season I was aware that some people were saying I wouldn't suit Rodgers' style of football. But I think I have put that to bed in the last few games I have played," he added.
"I think I've played well this season, without blowing my own trumpet. Even earlier in the season when I was playing in Europe and in the Carling Cup, I was quite pleased with how I performed.
"Hopefully I can carry that through to the end of the season."