diff --git a/core/modules/update/tests/src/Functional/UpdateContribTest.php b/core/modules/update/tests/src/Functional/UpdateContribTest.php
index 0fff16789608cab0d5e48387be0251e675b3ab66..585b0a86e3fdef9bd2710d4bcbd87af2a8e12818 100644
--- a/core/modules/update/tests/src/Functional/UpdateContribTest.php
+++ b/core/modules/update/tests/src/Functional/UpdateContribTest.php
@@ -709,9 +709,13 @@ public function securityUpdateAvailabilityProvider() {
         'expected_update_message_type' => static::UPDATE_NONE,
         'fixture' => 'sec.8.x-1.2_8.x-2.2',
       ],
+      '8.x-2.0, 8.x-1.2 8.x-2.2' => [
+        'module_patch_version' => '8.x-2.0',
+        'expected_security_releases' => ['8.x-2.2'],
+        'expected_update_message_type' => static::SECURITY_UPDATE_REQUIRED,
+        'fixture' => 'sec.8.x-1.2_8.x-2.2',
+      ],
       // @todo In https://www.drupal.org/node/2865920 add test cases:
-      //   - 8.x-2.0 using fixture 'sec.8.x-1.2_8.x-2.2' to ensure that 8.x-2.2
-      //     is the only security update.
       //   - 8.x-3.0-beta1 using fixture 'sec.8.x-1.2_8.x-2.2' to ensure that
       //     8.x-2.2 is the  only security update.
     ];
diff --git a/core/modules/update/tests/src/Functional/UpdateCoreTest.php b/core/modules/update/tests/src/Functional/UpdateCoreTest.php
index 5a52c222f7e56aa3d7ab44c97e5bdcfb940b8527..b7a8c59b89384c557ac2b885e9ed8cb5c3cc7adf 100644
--- a/core/modules/update/tests/src/Functional/UpdateCoreTest.php
+++ b/core/modules/update/tests/src/Functional/UpdateCoreTest.php
@@ -355,6 +355,14 @@ public function securityUpdateAvailabilityProvider() {
         'expected_update_message_type' => static::UPDATE_NONE,
         'fixture' => 'sec.0.2-rc2',
       ],
+      // Ensure that 8.0.2 security release is not shown because it is earlier
+      // version than 1.0.
+      '1.0, 0.2 1.2' => [
+        'site_patch_version' => '1.0',
+        'expected_security_releases' => ['1.2', '2.0-rc2'],
+        'expected_update_message_type' => static::SECURITY_UPDATE_REQUIRED,
+        'fixture' => 'sec.0.2-rc2',
+      ],
     ];
     $pre_releases = [
       '2.0-alpha1',
@@ -365,24 +373,25 @@ public function securityUpdateAvailabilityProvider() {
       '2.0-rc2',
     ];
 
-    // If the site is on an alpha/beta/RC of an upcoming minor and none of the
-    // alpha/beta/RC versions are marked insecure, no security update should be
-    // required.
     foreach ($pre_releases as $pre_release) {
+      // If the site is on an alpha/beta/RC of an upcoming minor and none of the
+      // alpha/beta/RC versions are marked insecure, no security update should
+      // be required.
       $test_cases["Pre-release:$pre_release, no security update"] = [
         'site_patch_version' => $pre_release,
         'expected_security_releases' => [],
         'expected_update_message_type' => $pre_release === '2.0-rc2' ? static::UPDATE_NONE : static::UPDATE_AVAILABLE,
         'fixture' => 'sec.0.2-rc2-b',
       ];
+      // If the site is on an alpha/beta/RC of an upcoming minor and there is
+      // an RC version with a security update, it should be recommended.
+      $test_cases["Pre-release:$pre_release, security update"] = [
+        'site_patch_version' => $pre_release,
+        'expected_security_releases' => $pre_release === '2.0-rc2' ? [] : ['2.0-rc2'],
+        'expected_update_message_type' => $pre_release === '2.0-rc2' ? static::UPDATE_NONE : static::SECURITY_UPDATE_REQUIRED,
+        'fixture' => 'sec.0.2-rc2',
+      ];
     }
-
-    // @todo In https://www.drupal.org/node/2865920 add test cases:
-    //   - For all pre-releases for 8.2.0 except 8.2.0-rc2 using the
-    //     'sec.0.2-rc2' fixture to ensure that 8.2.0-rc2 is the only security
-    //     update.
-    //   - For 8.1.0 using fixture 'sec.0.2-rc2' to ensure that only security
-    //     updates are 8.1.2 and 8.2.0-rc2.
     return $test_cases;
   }
 
diff --git a/core/modules/update/update.compare.inc b/core/modules/update/update.compare.inc
index 1eadbed71f314cde66c235b00c52c53cba8a8605..fd72a7d174a1d431540826d9a8a6ce340fe2b5b0 100644
--- a/core/modules/update/update.compare.inc
+++ b/core/modules/update/update.compare.inc
@@ -390,13 +390,14 @@ function update_calculate_project_update_status(&$project_data, $available) {
         ];
       }
     }
-
-    // Otherwise, ignore unpublished, insecure, or unsupported releases.
-    if ($release['status'] == 'unpublished' ||
-        !$is_in_supported_branch($release['version']) ||
-        (isset($release['terms']['Release type']) &&
-         (in_array('Insecure', $release['terms']['Release type']) ||
-          in_array('Unsupported', $release['terms']['Release type'])))) {
+    // Other than the currently installed release, ignore unpublished, insecure,
+    // or unsupported updates.
+    elseif ($release['status'] == 'unpublished' ||
+            !$is_in_supported_branch($release['version']) ||
+            (isset($release['terms']['Release type']) &&
+             (in_array('Insecure', $release['terms']['Release type']) ||
+              in_array('Unsupported', $release['terms']['Release type'])))
+    ) {
       continue;
     }