I think he is just scatting.
I used to drive my mom nuts back when I was about 5 and wandered around the house singing that as loud as I could. Thanks for bringing those memories back to me, over 60 years later
Whatever that is, it turns up again in Tiny Toons.
Originating in vocal jazz, scat singing or scatting is vocal improvisation with wordless vocables, nonsense syllables or without words at all. In scat singing, the singer improvises melodies and rhythms using the voice solely as an instrument rather than a speaking medium. This is different from vocalese, which uses recognizable lyrics that are sung to pre-existing instrumental solos.
Though scat singing is improvised, the melodic lines are often variations on scale and arpeggio fragments, stock...
Cab Calloway scat singing…
According to this Looney Tunes Wiki, the bit started with Daffy riffing on Danny Kaye’s debut album.
https://www.dailymotion.com/video/x8jqubr (4:21)
If it’s something specific, it’s likely somewhere on here.
When I read these descriptions, I knew exactly what it was going to be before clicking the link.
Danny Kaye aping Cab Calloway (skip to 2:10 for the relevant bit).
More here (also starts around 2:10).
Danny Kaye was apparently one of Mel Blanc’s favorite impersonations.