A number of disgruntled fans have called for the 59-year-old to be sacked following four consecutive defeats in the Premier League.
"I wouldn't see it any other way until they ring me and tell me otherwise," Allardyce told reporters in Thursday's press conference. "Without results you get criticised. Hostility in terms of disapproval of what you're doing or not doing is part of the job."
The Hammers will take on Tottenham Hotspur on home turf in the Premier League this weekend.