Tomó su apodo por una canción que compuso del tren Sunnyland entre Memphis y San Luis (Misuri). Su primera grabación fue en septiembre 1946 como cantante de la banda de Jump Jackson para la compañía discográfica Specialty y el año siguiente grabaría como líder de su propia banda para las discográficas Hy-Tone y Aristocrat. Poco después, presentó a un desconocido Muddy Waters a Len Chess para que también grabara para la Aristocrat.
Albert "Sunnyland Slim" Luandrew (September 5, 1907 – March 17, 1995) was an American blues pianist, who was born in the Mississippi Delta, and later moved to Chicago, Illinois, to contribute to that city's post-war scene as a center for blues music. Chicago's broadcaster and writer, Studs Terkel, said Sunnyland Slim was "a living piece of our folk history, gallantly and eloquently carrying on in the old tradition."
At that time the electric blues was taking shape there, and through the years Sunnyland Slim played with such musicians as Muddy Waters, Howlin' Wolf, Robert Lockwood, Jr., and Little Walter. His piano style is characterised by heavy basses or vamping chords in the left hand and tremolos with his right. His voice was loud and he sang in a declamatory style.
Sunnyland Slim's first recording was as a singer with Jump Jackson's band on the Specialty label in September 1946. His first recordings as a leader were on the Hy-Tone and Aristocrat labels in late 1947. Slim continued performing until his death in 1995.
He released one record on RCA Victor using the moniker 'Dr. Clayton's Buddy': "Illinois Central" b/w "Sweet Lucy Blues" (Victor 20-2733). In the late 1960s, Slim became friends with Canned Heat and played piano on the track "Turpentine Moan" on the album Boogie with Canned Heat. In turn, members of Canned Heat - lead guitarist Henry Vestine, slide guitarist Alan Wilson and bassist Larry Taylor - guested on Sunnyland Slim's Liberty Records album Slim's Got His Thing Goin' On (1968), which also featured Mick Taylor.
In 1988 he was awarded a National Heritage Fellowship.Sunnyland Slim died in March 1995 in Chicago, after complications from renal failure, at the age of 88.