"This Love of Mine" is a popular American song that was first recorded in 1941 by Tommy Dorsey and His orchestra, with a vocal by Frank Sinatra.
[1] The recording reached #3 on the Billboard pop singles chart in 1941.
The Tommy Dorsey recording was released as a 78 RCA Victor B side single, 27508-B, with Frank Sinatra[2] on vocals backed with "Neiani", which did not chart.
[3][4] Sinatra re-recorded the song with Nelson Riddle in 1955 for the In The Wee Small Hours album.
The song became a pop and jazz standard that has been recorded by other performers.