After many joyful hours of practicing polyrhythms, mastering linear beats and honing your soloing chops, you may at some point be required to play actual music. I find that many drummers know a lot of tunes, but don't really know how the tunes work. And the more abstract and convoluted the tune, the more important it is to analyse and master the ‘way the tune is put together.
It's not enough to be interested in a tune, or to have a pretty good idea of what it's about. Tunes have specific components, all of which you should know (within reason; see below). Tunes are built using rhythm, melody, harmony, and structure. To learn a new tune, tear it apart, learn it, devour it, own it. And it's not a lot of work. Begin with the structure. Count beats and bars to find out the time signature and to determine the basic form (I often use my fingers to do this). Is it a blues? Then it's 12 bars long in three 4-bar phrases. Something else? Just count. You don't have to read music to count beats and bars and to identify patterns.
The biggest help here is the melody, and most tunes are mostly melody.
Pop tunes, for example will usually have a verse, a chorus and perhaps a bridge. These parts will always be the same, so all you need to figure out is how long and in what order the sections appear, e.g. V, C, V, C, B, V, C, C is quite common.
All contemporary western music uses harmony. Most of the time this simply means chords, and understanding chords will give you access to the fundamental flow of the time. When there is no melody to fall back on, the chords will still be there, continually mapping your course through the tune. If you play a melodic and/or chording instrument, you may already have a good handle on harmony as well as melody and rhythm. But there is no need to learn another instrument. While some drum teachers insist that you learn piano, it's not really necessary. Helpful, yes, but many great drummers only knew how to play drums -- and how to listen -- and you don't need a piano to do this. But you do need to master the tune. You need to know the melody well enough to sing it (and if you're a non-singer like me, nobody needs to hear your attempts). You need to know the structure: how many bars are in each section and how the sections are arranged. You do not need to know the chords. You just need to be able to hear them and follow them through each part of the tune.
If sheet music helps, get hold of a copy. I often seek out a lead sheet for tunes that are a bit challenging. They summarize the whole tune, often on a single page. Go ahead and make notes on the sheet music or in a notebook. These days I use file cards.
BTW, don’t spend a lot of time practicing tunes you know. Bottom line: you already know them. Move on to something new.