The EIA added that bills would be 50% higher if the winter is 10% colder than average and 22% higher even if the winter is 10% warmer than usual.
The agency attributed the rise to surging commodity prices for natural gas, crude oil and petroleum products, as well as the likelihood of a colder winter than a year ago.
Natural gas is the primary heating fuel for nearly half of U.S. households, which the EIA says will spend more on energy this winter than in several years.
Despite rising demand, U.S. natural gas producers have been reluctant to drill more because they face growing pressure from investors to show capital discipline.