The loan signing suffered a terrible debut as he was run ragged by Arsenal's Theo Walcott in Saturday's 3-0 defeat.
The 30-year-old is determined to put the performance behind him and help West Ham out of the relegation zone.
"It was a difficult game for me," Bridge told West Ham's website.
"Theo is really quick and that was my first 90 minutes for a while. I've not played too many games this season, so I had a little bit of cramp at the end, but I didn't feel too bad for the first 60.
"I'll just improve next week. Things can only get better.
"One thing I don't want to see is West Ham go down."