It has been covered by numerous artists including Cuarteto Machín, Celia Cruz, Orquesta Aragón and Sierra Maestra.
After extensive touring in Cuba, two recording sessions in New York, and the addition of trumpeter Lázaro Herrera "El Jabao" to become a septeto, the Nacional made its way to Spain for the Ibero-American Exposition of 1929, which was taking place in Seville and saw other Cuban ensembles perform, such as the Trío Matamoros.
[5] The lineup for the session included vocalists Bienvenido León and Juan de la Cruz, trumpeter Lázaro Herrera, bongosero Agustín Gutiérrez, guitarist Eutimio Constantín, tresero Francisco Solares González, and the leader, Ignacio Piñeiro, on double bass.
[5] According to Jesús Blanco, Piñeiro wrote "Suavecito" about a Cuban woman named Carola whom they met in New York.
A charanga arrangement by Rafael Lay was recorded by Orquesta Aragón in 1956 for the 1958 album Maracas, bongó y congas.