For example, people over 60 that have been lawful U.S. residents for 20 years are already allowed to take the history and civics test in their native language, and there are exemptions from the English language test for immigrants aged 50 if they've been in the country long enough.

Nadler's bill would create two new exemptions for immigrants who are even older than that. First, it would exempt people 65 years and older from the English literacy test if they've been permanent residents for at least five years.

And, immigrants over 75 years old who have been permanent U.S. residents for five years would be exempt from the history and civics test.

Nadler's bill was introduced just days before a bipartisan group of senators is expected to unveil an immigration reform plan. But as usual, it's not clear whether the two parties can reach an agreement on the issue, as Democrats are looking to create a way for illegal residents to gain U.S. citizenship, while most Republicans seem to be pushing for tougher border enforcement as a first step.