That's All   Written by Alan Brandt and and Bob Haymes( singer Dick Haymes younger brother) it had been described by Alec Wilder, song archivist supreme, as " One of the last free-flowing,native and natural melodies in the grand pop style. It's one of the warmest, most natural and least "stidied" songs Wilder knew ( of the more than 17,000 songs he studied for his magnum opus " American Popular Song: The Great Innovators: 1900-1950.
Who better to convey the intrinsic warmth of the song than 
Nat King Cole whose style is ideally fitted to the requirements of the song.
As a bonus, here is a Sinatra version proving that a great song can be performed in different styles and still remain great.

https://youtu.be/sooSaQpGnMM 

https://youtu.be/SINfqtCq0lY