Defeat to Aston Villa in last weekend's FA Cup semi-final ended their trophy hopes and left the Reds facing the challenge of closing a seven-point gap to fourth-placed Manchester City.
They have a match in hand, at Hull next Tuesday, but even if they manage to reduce the deficit to four points it will still require City to drop points in their remaining five games.
"It is important. We want to finish the season strongly and if you can finish it strongly you can take that momentum into the following season," said Rodgers of their two fixtures, starting at West Brom on Saturday, in the next four days
"We have missed out on our goals to win a trophy, we went close but not enough, and the other one was to reach the top four.
"It is going to be difficult but we have to be there and fighting.
"It is a distant possibility, mathematically it could be, but the reliance is not with ourselves.
"You want to rely on yourselves and if you get the points you want to be in there but we have to be there to capitalise if anyone makes a mistake."
