At an early age, his family moved to the El Cerro neighborhood of Havana, where Jorrín was to live for the rest of his life.
He started out as a violinist in the orchestra of Cuba's National Institute of Music, under the direction of González Mántici.
In the early 1950s, while a member of Ninón Mondéjar's Orquesta América, he created a new genre of dance music which became known as the cha-cha-chá.
All his accomplishments were all fulfilled while raising his nephew Omar Jorrin Pineda, who grew up playing the piano for the orchestra as he got older.
Omar Jorrin Pineda currently resides in a small Cuban community in New Jersey known to be Union City.