Laura Lee

the bass can be seen at around 16:46, quoting what she is saying:

[..] I got it while I was still on collage, and I couldn´t really afford a real Fender Jazz Bass at the time, so this is a knock off Sx bass [..]

pick ups are Dimarzio Ultra Jazz

Laura Lee is photographed with a vintage-spec'd Fender Precision Bass in this Washington Post piece dated Sept. 1, 2016

In this video, Laura Lee's violin bass is introduced at 21:12. She says she doesn't know what kind of bass this is, but observing the sharply shaped pegs on this bass, and the triangular shaped truss rod cover, it appears to be a Greco violin bass. As for the knobs, they are not shaped like the original Höfner violin basses, which may have been replaced by modifications made by Mark Speer, as she discusses in this video. She says in the video that she uses this bass as a backup for gigs etc.

Laura Lee uses the Fender Laura Lee Jazz Bass, as confirmed in the "Khruangbin | Fender Signature Sessions" video on YouTube, published by Fender. The video introduces the Khruangbin Collection, which features the Limited Edition Laura Lee Jazz Bass. Laura Lee describes the instrument as having a timeless look and feel, stating, “We’ve been trying to cultivate our music to be classic in the sense of not adhering to a specific year or point in time.”