diff --git a/CHANGELOG.md b/CHANGELOG.md
index 92568026..54e24a63 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -26,6 +26,7 @@ and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.
 - After a SAML login, `cloudsmith auth` saves the Workspace to `config.ini`. It writes to the `[profile:NAME]` section of the selected profile, or to `[default]` when you do not select a profile. The CLI writes to the file or directory that `--config-file` gives, or else to your user-level `config.ini`. If the `config.ini` does not exist, the CLI creates it.
 - Using `#!/usr/bin/env sh` as shebang path for unix credential helpers.
 - The minimum version of `cloudsmith-api` is now 2.0.42.
+- The update notice and `cloudsmith update` now link to the version's entry in the Cloudsmith changelog (`https://cloudsmith.com/changelog/cli-v<major>-<minor>-<patch>`) instead of its GitHub release page.
 
 ### Deprecated
 
diff --git a/cloudsmith_cli/core/installation.py b/cloudsmith_cli/core/installation.py
index 45ed2c74..5a49ed4c 100644
--- a/cloudsmith_cli/core/installation.py
+++ b/cloudsmith_cli/core/installation.py
@@ -21,24 +21,23 @@
 #: Where a user downloads a fresh standalone build when self-update cannot run.
 RELEASES_LATEST_URL = "https://github.com/cloudsmith-io/cloudsmith-cli/releases/latest"
 
-#: Base for a version's GitHub release page. Each release is tagged ``v<version>``
-#: and its page renders that version's changelog, so it answers "what do I gain
-#: by upgrading?" for the exact version being offered.
-_RELEASE_TAG_URL_TEMPLATE = (
-    "https://github.com/cloudsmith-io/cloudsmith-cli/releases/tag/v{version}"
-)
+#: Base for a version's changelog entry on cloudsmith.com. Each entry's slug is
+#: ``cli-v<major>-<minor>-<patch>``, so it answers "what do I gain by
+#: upgrading?" for the exact version being offered.
+_CHANGELOG_URL_TEMPLATE = "https://cloudsmith.com/changelog/cli-v{version}"
 
 
 def changelog_url(version=None):
-    """Return the changelog URL for ``version`` (its release page), or the list.
+    """Return the changelog URL for ``version``, or the releases listing.
 
-    With a version, points at that version's release page (tagged
-    ``v<version>``), which shows exactly what changed. Without one, points at
-    the releases listing.
+    With a version, points at that version's changelog entry
+    (``cli-v<major>-<minor>-<patch>``), which shows exactly what changed.
+    Without one, points at the releases listing.
     """
     if not version:
         return RELEASES_LATEST_URL
-    return _RELEASE_TAG_URL_TEMPLATE.format(version=str(version).lstrip("v"))
+    slug = str(version).lstrip("v").replace(".", "-")
+    return _CHANGELOG_URL_TEMPLATE.format(version=slug)
 
 
 _UPGRADE_INSTRUCTIONS = {
diff --git a/cloudsmith_cli/core/tests/test_installation.py b/cloudsmith_cli/core/tests/test_installation.py
index 0e1d7260..b8169552 100644
--- a/cloudsmith_cli/core/tests/test_installation.py
+++ b/cloudsmith_cli/core/tests/test_installation.py
@@ -140,10 +140,16 @@ def test_channels_return_instruction(self, channel):
 
 class TestChangelogUrl:
     @pytest.mark.parametrize("version", ["2.0.0", "v2.0.0"])
-    def test_points_at_release_tag(self, version):
+    def test_points_at_changelog_entry(self, version):
         assert (
             installation.changelog_url(version)
-            == "https://github.com/cloudsmith-io/cloudsmith-cli/releases/tag/v2.0.0"
+            == "https://cloudsmith.com/changelog/cli-v2-0-0"
+        )
+
+    def test_multi_digit_parts(self):
+        assert (
+            installation.changelog_url("1.12.3")
+            == "https://cloudsmith.com/changelog/cli-v1-12-3"
         )
 
     @pytest.mark.parametrize("version", [None, ""])