The Hammers are currently 12th in the league table with 38 points from 32 matches, seven points above the relegation zone.
"There are six games left, we have 38 points and are in a nice position in the league," he told BBC Sport. "We have four games at home, two away, and our home form has been good this season.
"We should finish strongly, see how many points we can pick up and see where we can finish. I can't see us losing six on the trot with the way the lads are playing."
West Ham drew 1-1 with Southampton away from home in the Premier League on Saturday.