Indeed, the Reds drew 0-0 with Slaven Bilic's men at Anfield and, given the circumstances, it was a very encouraging result.
Firstly, West Ham have already beaten Liverpool twice this season. Jurgen Klopp's first-choice players were also exhausted from their Capital One Cup exploits against Stoke City earlier this week, when they were forced to play 120 minutes and then a penalty shootout.
However, Aldridge also raised a worrying concern.
He feels three games without a goal at Anfield is far from ideal - while he is anticipating a tough FA Cup replay against the Hammers.
That's 3 games at anfield without a goalThe young lads did OK to be fair.Again inspiration in front of goal needed.Be very tough the replay.— John Aldridge (@Realaldo474) January 30, 2016
Liverpool's problems in the final third have been well documented and it doesn't look like any new recruits will be brought in any time soon.
Klopp will have to make do with what he's got at his disposal. But his existing squad have certainly shown their resilience this week - even if they haven't scored any goals outside of their successful penalty shootout...