diff --git a/swh/fuse/fs/artifact.py b/swh/fuse/fs/artifact.py
--- a/swh/fuse/fs/artifact.py
+++ b/swh/fuse/fs/artifact.py
@@ -469,6 +469,16 @@
     swhid: SWHID
     prefix: str = field(default="")
 
+    def find_target(self, metadata: Dict[str, Any], branch_name: str) -> str:
+        target_type = metadata[branch_name]["target_type"]
+        target = metadata[branch_name]["target"]
+        if target_type == "revision":
+            return target
+        elif target_type == "alias":
+            return self.find_target(metadata, target)
+        else:
+            self.fuse.logger.error("Unknown snapshot target type: %s", target_type)
+
     async def compute_entries(self) -> AsyncIterator[FuseEntry]:
         metadata = await self.fuse.get_metadata(self.swhid)
         root_path = self.get_relative_root_path()
@@ -482,11 +492,13 @@
             next_prefix = next_subdirs[0]
 
             if len(next_subdirs) == 1:
-                yield self.create_child(
-                    FuseSymlinkEntry,
-                    name=next_prefix,
-                    target=Path(root_path, f"archive/{branch_meta['target']}"),
-                )
+                target = self.find_target(metadata, branch_name)
+                if target:
+                    yield self.create_child(
+                        FuseSymlinkEntry,
+                        name=next_prefix,
+                        target=Path(root_path, f"archive/{target}"),
+                    )
             else:
                 subdirs.add(next_prefix)
 
diff --git a/swh/fuse/tests/data/api_data.py b/swh/fuse/tests/data/api_data.py
--- a/swh/fuse/tests/data/api_data.py
+++ b/swh/fuse/tests/data/api_data.py
@@ -2778,6 +2778,11 @@
                 "target_type": "revision",
                 "target_url": "https://archive.softwareheritage.org/api/1/revision/a2db7c15ce9f586164cabb15d83fb3f6bbeb3cf5/",
             },
+            "HEAD": {
+                "target": "refs/heads/master",
+                "target_type": "alias",
+                "target_url": "https://archive.softwareheritage.org/api/1/revision/430a9fd4c797c50cea26157141b2408073b2ed91/",
+            },
         },
         "next_branch": None,
     },
diff --git a/swh/fuse/tests/data/gen-api-data.py b/swh/fuse/tests/data/gen-api-data.py
--- a/swh/fuse/tests/data/gen-api-data.py
+++ b/swh/fuse/tests/data/gen-api-data.py
@@ -61,6 +61,15 @@
         data = requests.get(f"{API_URL_real}/{url}").text
         data = json.loads(data)
 
+    if swhid.object_type == SNAPSHOT:
+        # Add a custom alias to test out this special case for snapshot
+        alias_name = "refs/heads/master"
+        data["branches"]["HEAD"] = {  # type: ignore
+            "target": alias_name,
+            "target_type": "alias",
+            "target_url": data["branches"][alias_name]["target_url"],  # type: ignore
+        }
+
     MOCK_ARCHIVE[url] = data
     METADATA[swhid] = data