diff --git a/src/libfetchers/tarball.cc b/src/libfetchers/tarball.cc
index b8d7d2c70..257465bae 100644
--- a/src/libfetchers/tarball.cc
+++ b/src/libfetchers/tarball.cc
@@ -178,7 +178,8 @@ struct TarballInputScheme : InputScheme
             && !hasSuffix(url.path, ".tar")
             && !hasSuffix(url.path, ".tar.gz")
             && !hasSuffix(url.path, ".tar.xz")
-            && !hasSuffix(url.path, ".tar.bz2"))
+            && !hasSuffix(url.path, ".tar.bz2")
+            && !hasSuffix(url.path, ".tar.zst"))
             return {};
 
         Input input;
diff --git a/src/nix/flake.md b/src/nix/flake.md
index 9e936a049..3d273100b 100644
--- a/src/nix/flake.md
+++ b/src/nix/flake.md
@@ -186,8 +186,8 @@ Currently the `type` attribute can be one of the following:
   attribute `url`.
 
   In URL form, the schema must be `http://`, `https://` or `file://`
-  URLs and the extension must be `.zip`, `.tar`, `.tar.gz`, `.tar.xz`
-  or `.tar.bz2`.
+  URLs and the extension must be `.zip`, `.tar`, `.tar.gz`, `.tar.xz`,
+  `.tar.bz2` or `.tar.zst`.
 
 * `github`: A more efficient way to fetch repositories from
   GitHub. The following attributes are required:
diff --git a/tests/lang/parse-okay-url.nix b/tests/lang/parse-okay-url.nix
index fce3b13ee..08de27d0a 100644
--- a/tests/lang/parse-okay-url.nix
+++ b/tests/lang/parse-okay-url.nix
@@ -3,5 +3,6 @@
   http://www2.mplayerhq.hu/MPlayer/releases/fonts/font-arial-iso-8859-1.tar.bz2
   http://losser.st-lab.cs.uu.nl/~armijn/.nix/gcc-3.3.4-static-nix.tar.gz
   http://fpdownload.macromedia.com/get/shockwave/flash/english/linux/7.0r25/install_flash_player_7_linux.tar.gz
+  https://ftp5.gwdg.de/pub/linux/archlinux/extra/os/x86_64/unzip-6.0-14-x86_64.pkg.tar.zst
   ftp://ftp.gtk.org/pub/gtk/v1.2/gtk+-1.2.10.tar.gz
 ]