Covers:

1943:

Duke Ellington [vocal version as Do Nothing Till You Hear From Me; lyrics: Bob Russell (see also: Never No Lament); n°1 R&B]

1944:

Woody Herman [idem]

1944:

Stan Kenton [idem]

1944:

Ink Spots [idem]

1944:

Billie Holiday

1944:

Count Basie

1944:

King Cole Trio

1957:

Ella Fitzgerald

1957:

Louis Armstrong

1962:

Nina Simone

1971:

Mose Allison

1977:

Rumour

1982:

Carmen McRae

1988:

Harry Connick Jr.

1992:

Robert Palmer

1993:

Diana Krall

1996:

Lynwood Slim

2000:

Dr. John

2001:

Robbie Williams

2005:

June Tabor

2008:

Boz Scaggs [all as Do Nothing Till You Hear From Me]