The east Londoners were beaten 2-1 at Fulham on New Year's Day which stretched their winless run to seven and saw them drop to 19th place on the table.
With captain Kevin Nolan to sit out the next few after receiving a straight red card today, and key midfielder Mark Noble now injured, Allardyce felt things quickly need to improve for his side to climb out of the relegation mire.
"My concerns are well-documented, and on top of that Mark Noble adds to our injuries, and he's someone we can ill afford to be without," he said.
"We're in a massive hole at the minute, so we've got to start digging ourselves out, and we need to start getting players back fit and playing again.
"He's got a calf injury: he couldn't play on with it.
"We'll send him for a scan and see what grade the injury is, whether it's a tear or just a tightening.
"We need to get others back as soon as we can.
"We got one back (Stewart Downing) but two are now out, and one irresponsibly."
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