The victory, which made it 17 goals scored and just two conceded in five home matches which have brought 12 points, moved the Reds back up to seventh in the Barclays Premier League table but still nine points adrift of fourth-placed Tottenham having played one match more.
However, Rodgers, conscious that his positive outlook is often used as a negative against him, admits there is plenty of work still to do in the remaining 11 matches.
"I am an optimist, you have to be, but we'll not get too carried away," he said.
"I've likened us to a marathon runner just getting ready for the finish line, ready to make our move, and then we trip ourselves up.
"That is something we have to change going forward for the remainder of the season and finish as strong as we can."