Many have serious doubts that Curbishley will last the course despite guiding the Hammers to 10th last season with half of his squad out injured for most of the season.
"I'm not bothered," Curbs told The Sun.
"I'm not a gambling man. I had 15 years at Charlton as outsider to get the sack.
"But I don't think I'm under pressure.
"Other people like to stir things up and make it worse."