The Hammers lost 2-1 to Everton on Saturday in potentially Allardyce’s final home match as boss, with his contract due to expire at the end of the season.
Talks with co-chairmen David Gold and David Sullivan will resume when the current campaign draws to a close and Allardyce hopes his record over three seasons will see him remain at West Ham.
“Everybody in the world of football has very short memories,” Allardyce said.
“It’s only what happened a couple of weeks ago or next week that matters. What happened four months ago is forgotten, whether that’s good, bad or indifferent. That’s football.
“I want to see it through, yes. That depends on a lot of anomalies in terms of negotiations – not just myself but those involved around me. And of course how we’re going to progress in terms of recruitment.
“I’ve never heard them say I’m not doing a good job. I’ll find out next week and then I can ask them why – see if they give me an honest answer.
“We’re 11th with 47 points so we’ve got to try and get that 50-point mark and hope it gets us to 10th.
“Even if it doesn’t it’s still been an outstanding season and for me an outstanding three years back in the Premier League. I’ve only had to worry about relegation for about six weeks in three seasons.”
Allardyce could consign former club Newcastle to relegation when he takes his side to St James??? Park next weekend, but the 60-year-old insists there will be no room for sentiment on the final day of the season.
“It’s been talked about in the dressing room with me, Kevin (Nolan) and Andy (Carroll),” said Allardyce, of two others with Newcastle connections.
“From our point of view it’s about being professional, not about what we do because it’s Newcastle and we were there.
“It’s about trying to win there for the benefit of ourselves and the justification for everybody else in terms of who are fighting that relegation battle. We have to try and do our very best.
“You can’t show any sympathy for anybody, because nobody shows any sympathy for you.”