diff --git a/swh/web/browse/snapshot_context.py b/swh/web/browse/snapshot_context.py
--- a/swh/web/browse/snapshot_context.py
+++ b/swh/web/browse/snapshot_context.py
@@ -543,7 +543,6 @@
                 url=None,
             )
         )
-        branch_name = revision_id
         query_params["revision"] = revision_id
     elif snapshot_total_size and release_name:
         release = _get_release(releases, release_name, snapshot_id)
diff --git a/swh/web/templates/includes/top-navigation.html b/swh/web/templates/includes/top-navigation.html
--- a/swh/web/templates/includes/top-navigation.html
+++ b/swh/web/templates/includes/top-navigation.html
@@ -9,7 +9,7 @@
 
 <div class="swh-browse-top-navigation d-flex align-items-start justify-content-between flex-wrap mt-1">
   {% if snapshot_context %}
-    {% if snapshot_context.branch or snapshot_context.release %}
+    {% if snapshot_context.branch or snapshot_context.release or snapshot_context.revision_id %}
       <div class="dropdown" id="swh-branches-releases-dd">
         <button class="btn btn-block btn-default btn-sm dropdown-toggle" type="button" data-toggle="dropdown">
           {% if snapshot_context.branch %}
@@ -19,13 +19,15 @@
               <i class="{{ swh_object_icons.branch }} mdi-fw" aria-hidden="true"></i>
             {% endif %}
             Branch: <strong>{{ snapshot_context.branch }}</strong>
-          {% else %}
+          {% elif snapshot_context.release %}
             {% if snapshot_context.release_alias %}
               <i class="{{ swh_object_icons.alias }} mdi-fw" aria-hidden="true"></i>
             {% else %}
               <i class="{{ swh_object_icons.release }} mdi-fw" aria-hidden="true"></i>
             {% endif %}
             Release: <strong>{{ snapshot_context.release }}</strong>
+          {% elif snapshot_context.revision_id %}
+            Revision: <strong>{{ snapshot_context.revision_id }}</strong>
           {% endif %}
           <span class="caret"></span>
         </button>
diff --git a/swh/web/tests/browse/test_snapshot_context.py b/swh/web/tests/browse/test_snapshot_context.py
--- a/swh/web/tests/browse/test_snapshot_context.py
+++ b/swh/web/tests/browse/test_snapshot_context.py
@@ -362,7 +362,7 @@
     )
 
     expected_revision = dict(base_expected_context)
-    expected_revision["branch"] = revision["id"]
+    expected_revision["branch"] = None
     expected_revision["branch_alias"] = False
     expected_revision["branches"] = branches
     expected_revision["revision_id"] = revision["id"]
diff --git a/swh/web/tests/browse/views/test_directory.py b/swh/web/tests/browse/views/test_directory.py
--- a/swh/web/tests/browse/views/test_directory.py
+++ b/swh/web/tests/browse/views/test_directory.py
@@ -264,7 +264,7 @@
 
 
 @given(origin_with_multiple_visits())
-def test_content_origin_snapshot_release_browse(client, archive_data, origin):
+def test_drectory_origin_snapshot_release_browse(client, archive_data, origin):
     visits = archive_data.origin_visit_get(origin["url"])
     visit = random.choice(visits)
     snapshot = archive_data.snapshot_get(visit["snapshot"])
@@ -337,6 +337,38 @@
     assert_contains(resp, snp_swhid)
 
 
+@given(origin_with_multiple_visits())
+def test_directory_origin_snapshot_revision_browse(client, archive_data, origin):
+    visits = archive_data.origin_visit_get(origin["url"])
+    visit = random.choice(visits)
+    snapshot = archive_data.snapshot_get(visit["snapshot"])
+    branches, releases, _ = process_snapshot_branches(snapshot)
+    branch_info = random.choice(branches)
+
+    directory = archive_data.revision_get(branch_info["revision"])["directory"]
+    directory_content = archive_data.directory_ls(directory)
+    directory_subdir = random.choice(
+        [e for e in directory_content if e["type"] == "dir"]
+    )
+
+    url = reverse(
+        "browse-directory",
+        url_args={"sha1_git": directory},
+        query_params={
+            "origin_url": origin["url"],
+            "snapshot": snapshot["id"],
+            "revision": branch_info["revision"],
+            "path": directory_subdir["name"],
+        },
+    )
+
+    resp = check_html_get_response(
+        client, url, status_code=200, template_used="browse/directory.html"
+    )
+
+    assert_contains(resp, f"Revision: <strong>{branch_info['revision']}</strong>")
+
+
 def _check_origin_snapshot_related_html(
     resp, origin, snapshot, snapshot_sizes, branches, releases
 ):