After the damaging 3-3 draw at Crystal Palace the Northern Irishman suggested that the championship was destined for Manchester City.
The Reds are still top of the league but Manuel Pellegrini's side are only a point behind, with two matches still to play and a superior goal difference.
But speaking to a captive audience at the club's inaugural awards night, the Reds boss suggested there was still a glimmer of hope ahead of Sunday's match against Newcastle.
"This season the players have allowed the supporters to dream and for a club of this size and magnitude - to be a point ahead at the top of the table with a week to go, you never know what can happen - it has been magnificent," he said.
"I promise for the time I am here we will fight for our lives and we won't finish until Newcastle."
Rodgers, who received a standing ovation from his players after winning an outstanding achievement award less than two years into his tenure, maintained there were still positives to take from the season.
He added: "Monday night was difficult. If you were in the changing room you would have felt how much it mattered to everyone.
"The key thing to remember is the journey we are on is going to have good and bad times but through it all we have to stick together as that is the Liverpool way.
"We will finish the season strong and keep going to strive to be the best."
Source: PA