West Ham extended a poor run of form that has seen them win only twice in the league in 2015 but it could have been worse for Allardyce’s side had Adrian not saved Charlie Austin’s first-half penalty.
Adrian has saved his last three consecutive spot-kicks and Allardyce was full of praise for his goalkeeper.
“He’s proving to be one of the best goalkeepers in the Premier League on a consistent basis,” Allardyce said.
“That’s three penalty saves on the trot now. He’s been an outstanding find from our point of view.”
“It will spread fear across the league because everyone will know he’s saved three on the trot so people will be even more nervous.
“Your goalkeeper is the second most important member of your team after your goalscorer and he’s shown that today by winning us a point.”
West Ham’s disappointing second half of the season has seen them slip to 10th in the table and increased the uncertainty surrounding Allardyce, whose contract expires at the end of the season.
“A man of my age and my experience doesn’t lose sleep over things like this anymore,” Allardyce said.
“It’s not worth it. My health is worth more than worrying about things like that.
“You stay awake at night worrying about your team, that’s the priority. That’s what you concentrate on.”