The West Ham United boss explained the effect that his injured players could have on his side when they return.
In his column for the London Evening Standard, Allardyce has commented on the amount that has been said of how the Reds have struggled without Sturridge - but suggests that when West Ham get Diafra Sakho, Enner Valencia, Alex Song, Cheikhou Kouyate, Stewart Downing and Mark Noble fit, then they will improve their team compared to Sturridge improving Liverpool's.
He said: "I’ve heard more than enough about Liverpool and the continued absence of Daniel Sturridge. Against Everton we were without five influential players.
"When we have all those players back it will make more a difference to us than Sturridge’s return will mean to Liverpool, that’s for sure."
That isn't to say that Liverpool don't miss Sturridge a lot, they do as they have lacked cutting edge in the final third in the absence of the 25-year-old who hasn't played for the club since August.
But the players that Allardyce has outlined have been integral to his side's good start to the season. Sakho has hit the ground running and found the net on six occasions whilst striking up a lethal combination with Enner Valencia, as their pace and movement has given opposition defences nightmares.
In addition, Song and Noble have been terrific in the middle of the park and provided a solid platform for the side to build on within games.
The comparison with Liverpool - it could be argued - is an odd one. Comparing the absence of one player to several players who play in different positions, there is obviously going to be more of an effect on one side.
But it reflects how well Allardyce's side are doing that his side's injuries aren't that well documented compared to Liverpool's striker. But maybe that's why he has made the comparison, especially given that there are a number of players at Liverpool's disposal to deal with injuries.