The midfielder was shown a straight red card seven minutes from time, when his side were 3-1 down, for a reckless challenge on Jordan Henderson, compounding a miserable afternoon for the struggling London club at Anfield.
He will now face a three-match ban, while winger Stewart Downing (foot) and defender James Tomkins (hamstring) were added to West Ham's lengthy injury list. The Hammers are only above the relegation zone by goal difference and Allardyce is furious that he will be unable to call on Nolan for the next three games.
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|4/1||West Ham are 4/1 with Bet365 to be relegated from the Premier League|
"There is nothing we could do about Stewart's injury but Kevin certainly could have done something about keeping himself on the field.
"It was a very irresponsible action. No matter how frustrated you get, you shouldn't be doing that sort of thing, especially when you're a man of his experience.
"We're all struggling at the minute but what we can't afford to is lose our confidence and our determination to do the right things.
"It's not so long ago - a week - that we a magnificent performance together to beat Fulham. This time of year, the chances to put things right and win come thick and fast because the games come around and points are won and lost very quickly.
"My problem now lies with the limited amount of players I have available to me next weekend [against Sunderland]."