Lambert made a significant impact from the bench whilst the Reds kept only their second clean sheet of the season.
Lambert was brought on at the hour mark with the Reds pushing for a winner to make it three league wins on the bounce but their efforts were in vain, as Mario Balotelli missed a glorious opportunity late on in the game to get his first Premier League goal for the club.
The 32-year-old's introduction certainly seemed to bring about a more lively Balotelli with the Reds playing with a front two, with the home side playing with a greater degree of intensity.
Rodgers was pleased with Lambert's performance following his introduction, with the boyhood Red looking for his first goal for the club as well.
The Liverpool manager told their official website: "Rickie was excellent when he came on. It has been difficult for him because he probably wants to play a little bit more.
"But he's working tirelessly in training and when he gets the opportunities to play, if he shows that composure and quality, the chances will come. He made a real difference for us when he came on."
Lambert could be in line for a start against Swansea City in the League Cup at Anfield tomorrow as the Reds search for their first trophy under the management of Rodgers, with the Liverpool boss keen to win silverware this season.
But if they are going to have something tangible to show for their efforts, the Reds are going to have to improve at the back, something which the Reds appeared to do on Saturday, as they kept only their second clean sheet of the campaign.
Rodgers added: "They're a team that have scored two goals away at the Emirates and scored two away at Newcastle already this season. For us to keep the clean sheet was important. If you can't win, take the point."