The Baggies chief appeared to be under pressure following the opening games of the season when they won just one of their opening four league games and crashed out of the EFL Cup on penalties against Northampton.
However, a 4-2 win against West Ham has been followed by three successive 1-1 draws which has moved Albion up to 12th in the table on 10 points from eight games.
A tough run of games at Liverpool, a visit from Manchester City and a trip to reigning champions Leicester is up next for West Brom so Pulis knows his players cannot afford to relax.
“As soon as you take your eye off the ball and think you’re better than what you are and start becoming complacent then the bottom drops out,” he told the Express & Star.
“There’s a lot of clubs in the Championship that have managed to do that but this club needs to keep its feet firmly on the ground, try and improve every window and that’s what we’re going to try and do.”