Republicans have to fulfill their campaign pledge on cutting the federal budget or they won't win reelection, Rep. Allen West (R-Fla.) said Tuesday night.

Speaking with Fox's Greta Van Susteren, West said that it was important for House Republicans to fulfill their campaign promise of cutting $100 billion worth of federal spending.

"I think it's very important that they do or else in two years they'll go home," West said.

West added that the American people don't expect the new House Republican majority to fix the economy overnight, but they do expect them to put the country on the path to a healthier economy.

"No one thinks we're going to come up here and turn this ship around in the first six months or even a year," West said.

President Obama on Monday unveiled his budget proposal for this fiscal your. Republicans said fell it short in cutting federal spending.