WASHINGTON, April 26 (UP) - The State Department has reacted coolly to a suggestion by Senator Warne L. Morse for a Senatorial investigation of the Cuban uprising.

The Oregon Democrat proposed a Senatorial “fact-finding mission” as a closed-door heating of the Senate Foreign Relations Committee March 31. The record was made public today.

Roy R. Rubottom, Assistant Secretary of State for Latin-American Affairs, said: “I feel in the present circumstances there that [the inquiry] would be played up by many of the Cubans as unwarranted intervention in their own internal affairs.”

Mr. Morse, highly critical of President Batista, said he would have to have more justification that had been furnished to vote for any military aid for Cuba.