diff --git a/swh/loader/pypi/loader.py b/swh/loader/pypi/loader.py
--- a/swh/loader/pypi/loader.py
+++ b/swh/loader/pypi/loader.py
@@ -236,12 +236,15 @@
     def generate_and_load_snapshot(self):
         branches = {}
         for release, artifacts in self.project.all_release_artifacts().items():
+            default_release = self.project.default_release()
             if len(artifacts) == 1:
                 # Only one artifact for this release, generate a single branch
                 branch_name = 'refs/tags/%s' % release
                 filename, sha256 = artifacts[0]
                 target = self.target_from_artifact(filename, sha256)
                 branches[branch_name.encode('utf-8')] = target
+                if release == default_release:
+                    branches[b'HEAD'] = target
             else:
                 # Several artifacts for this release, generate a separate
                 # pointer for each of them
diff --git a/swh/loader/pypi/tests/test_loader.py b/swh/loader/pypi/tests/test_loader.py
--- a/swh/loader/pypi/tests/test_loader.py
+++ b/swh/loader/pypi/tests/test_loader.py
@@ -197,9 +197,13 @@
                 'target': 'e445da4da22b31bfebb6ffc4383dbf839a074d21',
                 'target_type': 'revision',
             },
+            'HEAD': {
+                'target': 'e445da4da22b31bfebb6ffc4383dbf839a074d21',
+                'target_type': 'revision',
+            },
         }
 
-        self.assertSnapshotOk('c111b9a5f46e68e5017b04383281cfd932ab3fb8',
+        self.assertSnapshotOk('5c99339508de5eea67eecd3e0ba1efa8e804b96e',
                               expected_branches)
 
 
@@ -211,7 +215,7 @@
     def _last_snapshot(self):
         """Return last visited snapshot"""
         return {
-            'id': b'\xc1\x11\xb9\xa5\xf4nh\xe5\x01{\x0482\x81\xcf\xd92\xab?\xb8',  # noqa
+            'id': b'\\\x993\x95\x08\xde^\xeag\xee\xcd>\x0b\xa1\xef\xa8\xe8\x04\xb9n',  # noqa
             'branches': {
                 b'refs/tags/1.1.0': {
                     'target': b'L\x99\x89\x1f\x93\xb8\x14P'
@@ -224,6 +228,12 @@
                     b'\x9a\x07M!',
                     'target_type': 'revision'
                 },
+                b'HEAD': {
+                    'target': b'\xe4E\xdaM\xa2+1\xbf'
+                    b'\xeb\xb6\xff\xc48=\xbf\x83'
+                    b'\x9a\x07M!',
+                    'target_type': 'revision'
+                },
             },
         }
 
@@ -273,7 +283,7 @@
         self.assertDirectoriesOk([])
         self.assertRevisionsOk(expected_revisions={})
 
-        expected_snapshot_id = 'c111b9a5f46e68e5017b04383281cfd932ab3fb8'
+        expected_snapshot_id = '5c99339508de5eea67eecd3e0ba1efa8e804b96e'
         expected_branches = {
             'refs/tags/1.1.0': {
                 'target': '4c99891f93b81450385777235a37b5e966dd1571',
@@ -283,6 +293,10 @@
                 'target': 'e445da4da22b31bfebb6ffc4383dbf839a074d21',
                 'target_type': 'revision',
             },
+            'HEAD': {
+                'target': 'e445da4da22b31bfebb6ffc4383dbf839a074d21',
+                'target_type': 'revision',
+            },
         }
         self.assertSnapshotOk(expected_snapshot_id, expected_branches)
 
@@ -358,7 +372,7 @@
         for rev, dir_id in old_revisions.items():
             expected_revisions[rev] = dir_id
 
-        expected_snapshot_id = '78fe3367ba98ed8b679b91ca70d3f68130fa0694'
+        expected_snapshot_id = 'c1500c9fae5c275f5a772105c36884dd01bc26e7'
         expected_branches = {
             'refs/tags/1.1.0': {
                 'target': '4c99891f93b81450385777235a37b5e966dd1571',
@@ -372,6 +386,10 @@
                 'target': 'fb46e49605b0bbe69f8c53d315e89370e7c6cb5d',
                 'target_type': 'revision',
             },
+            'HEAD': {
+                'target': 'fb46e49605b0bbe69f8c53d315e89370e7c6cb5d',
+                'target_type': 'revision',
+            },
         }
 
         self.assertSnapshotOk(expected_snapshot_id, expected_branches)
@@ -388,7 +406,7 @@
     def _last_snapshot(self):
         """Return last visited snapshot"""
         return {
-            'id': b'x\xfe3g\xba\x98\xed\x8bg\x9b\x91\xcap\xd3\xf6\x810\xfa\x06\x94',  # noqa
+            'id': b"\xc1P\x0c\x9f\xae\\'_Zw!\x05\xc3h\x84\xdd\x01\xbc&\xe7",  # noqa
             'branches': {
                 b'refs/tags/1.1.0': {
                     'target': b'L\x99\x89\x1f\x93\xb8\x14P8Ww#Z7\xb5\xe9f\xdd\x15q',  # noqa
@@ -401,7 +419,11 @@
                 b'refs/tags/1.3.0': {
                     'target': b'\xfbF\xe4\x96\x05\xb0\xbb\xe6\x9f\x8cS\xd3\x15\xe8\x93p\xe7\xc6\xcb]',  # noqa
                     'target_type': 'revision'
-                }
+                },
+                b'HEAD': {
+                    'target': b'\xfbF\xe4\x96\x05\xb0\xbb\xe6\x9f\x8cS\xd3\x15\xe8\x93p\xe7\xc6\xcb]',  # noqa
+                    'target_type': 'revision'
+                },
             }
         }
 
@@ -487,7 +509,7 @@
         }
         self.assertRevisionsOk(expected_revisions)
 
-        expected_snapshot_id = '388083a9bb675812c6cc7124e1f8af8128df6917'
+        expected_snapshot_id = 'ddc940677eda1ca270c8b7e8d7796f8f98428522'
         expected_branches = {
             'refs/tags/1.2.0': {
                 'target': 'e445da4da22b31bfebb6ffc4383dbf839a074d21',
@@ -501,6 +523,10 @@
                 'target': '5e91875f096ac48c98d74acf307439a3490f2827',
                 'target_type': 'revision',
             },
+            'HEAD': {
+                'target': '5e91875f096ac48c98d74acf307439a3490f2827',
+                'target_type': 'revision',
+            },
         }
         self.assertSnapshotOk(expected_snapshot_id, expected_branches)