Last month I showed a line of walking bass, on top of Autumn Leaves, with notes of the scale and chromatic approaches, to understand better, this month I decided to set up separate examples. 
I made two lines of walking bass: 
The first only with notes of the scale, and other with just chromatic approaches. 
I decided to do on top of the it harmonizes II - V - I - VI , very used in the jazz. 
The harmony is: 
Dm7 G7 Cmaj7 Am7  
  II     V        I       VI 
 
Former: nº1 just with notes of the scale.

                Dm7                             G7                              Cmaj7        Cmaj7            Am7
b

Former: nº2 just with chromatic approaches.

              Dm7           Dm7           G7              G7           Cmaj7        Cmaj7          Am7         Am7

b