MIAMI (CBS4) — Embattled South Florida freshman U.S. Rep. David Rivera is calling for an overhaul of the Cuban Adjustment Act, the decades-old law that grants most Cubans U.S. residency a year after they arrive.

Rivera said those Cubans who travel home to see their families should not qualify for a law that was created to provide political asylum. He added that to preserve the act for future generations seeking refuge in the U.S., it is time for it to be changed.

The congressman spoke to a standing ovation of about 40 mostly Cuban exiles.

Critics question why Rivera would be the first member of Congress in a decade to call for a measure that only hurts members of his community. Many Cubans, particularly recent immigrants, return to see family on the island.