"We ran out of patience in the Chelsea game and that's something we will work on," said Liverpool manager Rodgers.
Liverpool's hope of winning their first Premier League title in 24 years is now firmly out of their hands. If both City and Liverpool are to win their last two remaining games, City will edge it on goal difference which now stands as nine better than Liverpool's.
But Rodgers says he is focused only on developing his side's brand of attacking football, with the game against Palace providing an opportunity to work on breaking down another well-drilled defensive opponent.
"We know Crystal Palace are a very strong team. They're well organised and will be super compact in the game - there won't be a lot of spaces," said the 41-year-old. "I watched them recently at Everton and they defended really well and have players on the counter-attack who can punish you.
Rodgers spent three years working under Chelsea boss Mourinho as part of the Blues' coaching staff but he has no intention of adopting his former mentor's more defensive approach.
"One of the beauties of this season is that success has come in a manner that's attuned to the Liverpool way and we aim to play winning football but also to play in a style that's synonymous with this football club," he added.
"For us, it's important to win but to win in a way that we want."