diff --git a/swh/core/tarball.py b/swh/core/tarball.py
--- a/swh/core/tarball.py
+++ b/swh/core/tarball.py
@@ -175,8 +175,9 @@
 
 # Additional uncompression archive format support
 ADDITIONAL_ARCHIVE_FORMATS = [
-    # name  , extensions, function
+    # name, extensions, function
     ("tar.Z|x", [".tar.Z", ".tar.x"], _unpack_tar),
+    ("tbz2", [".tbz", "tbz2"], _unpack_tar),
     # FIXME: make this optional depending on the runtime lzip package install
     ("tar.lz", [".tar.lz"], _unpack_tar),
 ]
diff --git a/swh/core/tests/data/archives/hello.tbz b/swh/core/tests/data/archives/hello.tbz
new file mode 100644
index 0000000000000000000000000000000000000000..0000000000000000000000000000000000000000
GIT binary patch
literal 0
Hc$@<O00001

literal 0
Hc$@<O00001

diff --git a/swh/core/tests/data/archives/hello.tbz2 b/swh/core/tests/data/archives/hello.tbz2
new file mode 100644
index 0000000000000000000000000000000000000000..0000000000000000000000000000000000000000
GIT binary patch
literal 0
Hc$@<O00001

literal 0
Hc$@<O00001