HS memorization will obviously be a good step, but even once it's memorized you won't be able to look at both hands at once and will need to rely upon different types of memory when performing. You will definitely want to be capable of playing LH without looking.
There are two main tricks with a figuration like that, one is the motion from the bass note (beat #1) to the first chord (beat #2), the other is the motion out of the second chord (beat #3) back to the bass note (beat #1 of the next measure). Plus the fact that the bass line is moving and the chords are changing, so you're not jumping back and forth to the same places.
Memorize the first beats by themselves, the walking bass in time and in the first 4 measures phrase. Memorize the chords by themselves. Both of those in time and with the correct fingering. Both tasks may take a total of 10 mins, maybe a bit longer.
Then, practice just the two jumping spots by measure (linking beat #3 to beat #1 of the following measure), until you can do those without looking and accurately 7-10 times in a row. Take just one measure at a time, but your first bigger goal is to accomplish a phrase like this. Do it step by step, getting one measure at time and then linking two measures, until you can do all four without looking and without mistakes. Alternate between practicing just the bass notes and just the chords with practicing the jumps, and then piece the whole bass line together as written. Be a stickler with yourself on this and you will have already increased your skill level by the next four measure phrase, and it won't be the same challenge (though you must take the steps you need to take if you can't do it without the steps).
The next trick is getting HT, and you will want to have RH memorized separately, too. To get them working together, play the RH while just playing the walking bass in the LH, play the RH while just playing the chords in the LH. Sing the RH while playing the entire LH. Singing/phonating individual parts, even if you don't consider yourself a "singer," can help to clarify to yourself the sound of those parts as well as giving it a type of physical independence that isn't necessarily achieved by other means.
If you spend the effort in first 16 measures, you will grow tremendously in that time and the rest of the piece won't be the same struggle.