Allardyce told reporters after the game: "It's the same old story for us. We are striving to convert these chances but we've got to be more clinical. It's a massive because of us losing four of the trot, not taking chances.
"We should have being going in leading at half time and I was really disappointed with how we defended their goal. We can't find a finish right now and we're paying a very heavy price for OK performances.
"We've put ourselves in a very difficult position with Tottenham at home and Manchester City away still to come."
West Ham currently occupy 14th place in the Premier League table.