Suarez, 26, insisted that if Rodgers' side show the same commitment in every game there is still a chance for them to finish in the top four.
He told Marca: "I'm very pleased and very happy because Liverpool is growing.
"It's not the team that it once was as they have had a dip. But now we have a new coach who has a philosophy of the game with which the players are very happy.
"The only thing missing is to have more positive results so we can finish in a Champions League spot.
"We showed we can match anyone - we had chances to win many of those matches.
"If we go into every game in the Premier League with the same intensity that we've shown in the big matches we can be much higher in the table."