A couple of things that may be useful to know, if you don't already know them.

1) It's quite common for the bass to lead into the next chords, so for example in a simply progression C, F, G7,C the bass may play approach notes to the new chord, maybe D,E,F from the C to the F, or likely the Bb from the G7 back to the C. Approach notes are usually played towards the end of the bar to start a momentum towards the new chord.

2) A lot of traditional western music works around 'modes' also known as 'church modes', where the melody uses the notes of a scale, but the bass note defines the mode. The mode can give a very distinctly different feel to the melody. You'll certainly already know two, if not by name, because they're the major and the relative minor keys (Ionian and Aeolian), but there are five others: Dorian, Phrygian, Lydian, Myxolidian and Locrian (Locrian is very rarely used).

Wikipedia has an English page here
David Bennett explains in a video here

Jazz relative beginner, starting at a much older age than was helpful.
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