Sibby is a given name or nickname.
Notable people with the name include:
Sibby Flowers (born 1963), American weightlifter Sibby Nichols (1884–1957), Canadian ice-hockey player Sibby Sisti (1920–2006), American baseball player Sibimet ("Sibby"), a character in the Sylvie and Bruno novels by Lewis Carroll
See also Siby (disambiguation)