The band will release an updated version of the album on 4 September.
Mick Jagger announced on Thursday that the new release will include three previously unheard tracks, as well as “demos, outtakes, live performances and more”.
A music video was unveiled for the first of those three unreleased songs, titled “Criss Cross”.
According to Rolling Stone, the other two songs are “Scarlet”, which includes guitar work by Jimmy Page, and “All the Rage”.
Goats Head Soup came out in August 1973, on the heels of Beggars Banquet, Let It Bleed, Sticky Fingers, and Exile on Main St.
The Independent gave it the 10th spot in a ranking of The Rolling Stones’ 10 best albums, noting that it was “released to middling reviews from critics spoiled by the unprecedented run of creativity that began with Beggar’s Banquet“, but that it’s ”now viewed much more favourably”.