The Hammers had to settle for a point against a very spirited Brighton side on Saturday.
Failing to win against Brighton means West Ham need some teams around them, such as Liverpool, Tottenham, Chelsea and Leicester City, to drop points in the remaining two games of the season. But Soucek is not giving up.
"This is our dream and we want to do the maximum, to be there at the end of the league," said Soucek, per the Evening Standard.
"Two games to go and we need six points.
"We've talked about wanting to play Champions League or Europa League, it is still alive.
"We want to do the maximum to finish sixth or higher."