Lovett’s second album, 1988’s Pontiac, expanded on the jazz influences he touched on in his debut. In fact, the album is split right down the middle between traditional country songs on the first side and the jazz/blues tunes on the second.
Which side you prefer probably depends on your fondness for country music. I know a certain country-averse commenter here will have a strong preference for side B. And certainly there’s a great case to be made for those songs.