Kerry, who went to Cuba last August to raise the US flag over the reopened American embassy, acknowledged to the Senate Foreign Relations Committee that the United States still has concerns about the human rights situation there.
"I may be down there in the next week or two to have a human rights dialogue, specifically," he said.
That would put Kerry on the communist-ruled island just ahead of US President Barack Obama and First Lady Michelle Obama, who announced plans last week to visit Cuba March 21-22.
The last American leader to visit Cuba while in office was Calvin Coolidge in 1928.
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Obama and President Raul Castro surprised the world in December 2014 by agreeing to restore relations that had been severed for more than half a century.
Obama on Saturday touted the opening as "a new chapter in our relationship."
"I believe that the best way to advance American interests and values, and the best way to help the Cuban people improve their lives, is through engagement -- by normalizing relations between our governments and increasing the contacts between our peoples," Obama said in his weekly radio address.