With Spurs drawing at Wigan, a win over West Brom would have moved the Reds to within two points of fifth place. Unfortunately Saturday's defeat means the gap opens to five points.
"It was disappointing to lose the game and with Tottenham only drawing makes this even more of a bad result," said Carragher.
"We obviously didn't know the Tottenham score until the end of the game but we can't worry about other teams.
"We've just to look after ourselves and get as many points as we can to try and close the gap.
"West Brom did well and it was a big three points for them, but it was a very disappointing day for us.
"Luis Suarez looked dangerous again for us and he was unlucky not to get an equaliser right at the end, but unfortunately besides the goal we didn't create enough chances in the first 75 minutes of the game."