The initiative, controversially significant to the Cuban community in the US, would prevent these citizens returning to the Caribbean nation within five years after entering the United States under the Cuban Adjustment Act.
Until now, the law allows these immigrants to legalize their residency status after a year and a day from reaching the United States, and from then on they can travel to their country of origin.
The final bill has been identified as HR 2774. A draft of the legislation was introduced in the House of Representatives last August 1, said Southern Sun Sentinel newspaper.
According to the representative for the 25th Congressional District of Florida, his plan aims to preserve the original meaning of the Cuban Adjustment Act in force since 1966 - that gives privileges to Cuban migrants in relation to nationals of other countries on the presumption that they are politically persecuted .
In short, the proposal stipulates Rivera: Immigrants covered by that legislation can not travel to Cuba within five years after arrival in U.S. territory and the Department of Homeland Security would not grant legal residence status to those who violate the rules.
The project, now corrected, will be resubmitted when the next federal Congress resumes sessions September 6.
Rivera two months ago introduced a program to reverse the easing of travel restrictions to Cuba.
For her part, the Cuban-American congresswoman Ileana Ros-Lehtinen, chairwoman of the Foreign Relations Committee of the House of Representatives, has asked the White House to take action to prevent alleged violations of laws on tourism to the island.
In addition to Ros-Lehtinen and Rivera, efforts to tighten the economic blockade against Cuba are joined by Rep. Mario Diaz-Balart, with an amendment that was added to an appropriations bill for the Treasury and certified by a legislative committee on voice vote.
Both Rivera's proposal and that of Diaz-Balart would restore the Cuban travel restrictions to their country of origin in force under President George W. Bush, before President Barack Obama relaxed them earlier this year.
The economic, commercial and financial siege imposed by Washington on Havana dates back five decades. The direct economic damage caused to the Cuban people up to December 2009 calculated at current prices amounts to a figure that exceeds 100 billion dollars.
That amount would increase to nearly 24o billion dollars if the calculation was made based on retail price inflation in the US, states a report on 2010 from the digital site Cubavsbloqueo.cu.