A new poll of Hispanic immigrants who entered the country illegally or overstayed visas finds that 87 percent would apply for citizenship if it's offered in a new immigration reform bill.

A group of senators is expected to release a draft version of a bill Tuesday that lays out a nearly 15-year path to citizenship for the country's 11 million unauthorized immigrants, if they pay hefty fines and pass background checks.

The poll, which was commissioned by the pro-reform advocacy group America's Voice, covers only immigrants who come from Latin America, who are estimated to make up about 80 percent of the total unauthorized immigrant population in the country.

More than 60 percent of respondents said they had a U.S.-born child, while 85 percent have at least one family member who is a U.S. citizen.

The poll of 400 adults has a margin of error of 4.9 percentage points.