diff --git a/core/modules/system/tests/modules/system_core_composer_test/composer.json b/core/modules/system/tests/modules/system_core_composer_test/composer.json
new file mode 100644
index 0000000000..a6d34d7743
--- /dev/null
+++ b/core/modules/system/tests/modules/system_core_composer_test/composer.json
@@ -0,0 +1,7 @@
+{
+  "name": "drupal/system_core_composer_test",
+  "type": "drupal-module",
+  "require":  {
+    "drupal/core": "^8.8 || ^9 || ^10 || ^11 || ^12 || ^13"
+  }
+}
diff --git a/core/modules/system/tests/modules/system_core_composer_test/system_core_composer_test.info.yml b/core/modules/system/tests/modules/system_core_composer_test/system_core_composer_test.info.yml
new file mode 100644
index 0000000000..0c56c05ecf
--- /dev/null
+++ b/core/modules/system/tests/modules/system_core_composer_test/system_core_composer_test.info.yml
@@ -0,0 +1,5 @@
+name: 'System core version test using composer.json.'
+type: module
+description: 'Support module for testing core using composer.'
+package: Testing
+version: 1.0.0
diff --git a/core/modules/system/tests/modules/system_core_incompatible_composer_test/composer.json b/core/modules/system/tests/modules/system_core_incompatible_composer_test/composer.json
new file mode 100644
index 0000000000..341a7a556e
--- /dev/null
+++ b/core/modules/system/tests/modules/system_core_incompatible_composer_test/composer.json
@@ -0,0 +1,7 @@
+{
+  "name": "drupal/system_core_incompatible_composer_test",
+  "type": "drupal-module",
+  "require":  {
+    "drupal/core": "^100"
+  }
+}
diff --git a/core/modules/system/tests/modules/system_core_incompatible_composer_test/system_core_incompatible_composer_test.info.yml b/core/modules/system/tests/modules/system_core_incompatible_composer_test/system_core_incompatible_composer_test.info.yml
new file mode 100644
index 0000000000..90165e82df
--- /dev/null
+++ b/core/modules/system/tests/modules/system_core_incompatible_composer_test/system_core_incompatible_composer_test.info.yml
@@ -0,0 +1,5 @@
+name: 'System core incompatible composer.json test'
+type: module
+description: 'Support module for testing core incompatible using composer.json.'
+package: Testing
+version: 1.0.0
diff --git a/core/modules/system/tests/src/Functional/Module/DependencyTest.php b/core/modules/system/tests/src/Functional/Module/DependencyTest.php
index 0d4859ddcb..0dad822e89 100644
--- a/core/modules/system/tests/src/Functional/Module/DependencyTest.php
+++ b/core/modules/system/tests/src/Functional/Module/DependencyTest.php
@@ -32,6 +32,7 @@ public function testProjectNamespaceForDependencies() {
    */
   public function testEnableWithoutDependency() {
     // Attempt to enable Content Translation without Language enabled.
+    // @todo Add a composer.json test case.
     $edit = [];
     $edit['modules[content_translation][enable]'] = 'content_translation';
     $this->drupalPostForm('admin/modules', $edit, t('Install'));
@@ -57,12 +58,12 @@ public function testEnableWithoutDependency() {
   public function testMissingModules() {
     // Test that the system_dependencies_test module is marked
     // as missing a dependency.
+    $assert_session = $this->assertSession();
     $this->drupalGet('admin/modules');
     $this->assertRaw(t('@module (<span class="admin-missing">missing</span>)', ['@module' => Unicode::ucfirst('_missing_dependency')]), 'A module with missing dependencies is marked as such.');
-    $checkbox = $this->xpath('//input[@type="checkbox" and @disabled="disabled" and @name="modules[system_dependencies_test][enable]"]');
+    $assert_session->fieldDisabled('modules[system_dependencies_test][enable]');
     $this->assertRaw(t('@module (<span class="admin-missing">missing</span>)', ['@module' => Unicode::ucfirst('missing_composer_dependency')]), 'A module with missing dependencies is marked as such.');
-    $checkbox = $this->xpath('//input[@type="checkbox" and @disabled="disabled" and @name="modules[system_composer_dependencies_test][enable]"]');
-    $this->assert(count($checkbox) == 1, 'Checkbox for the module is disabled.');
+    $assert_session->fieldDisabled('modules[system_composer_dependencies_test][enable]');
   }
 
   /**
@@ -71,6 +72,7 @@ public function testMissingModules() {
   public function testIncompatibleModuleVersionDependency() {
     // Test that the system_incompatible_module_version_dependencies_test is
     // marked as having an incompatible dependency.
+    // @todo Add a composer.json test case.
     $this->drupalGet('admin/modules');
     $this->assertRaw(t('@module (<span class="admin-missing">incompatible with</span> version @version)', [
       '@module' => 'System incompatible module version test (>2.0)',
@@ -86,12 +88,17 @@ public function testIncompatibleModuleVersionDependency() {
   public function testIncompatibleCoreVersionDependency() {
     // Test that the system_incompatible_core_version_dependencies_test is
     // marked as having an incompatible dependency.
+    $assert_session = $this->assertSession();
     $this->drupalGet('admin/modules');
     $this->assertRaw(t('@module (<span class="admin-missing">incompatible with</span> this version of Drupal core)', [
       '@module' => 'System incompatible core version test',
     ]), 'A module that depends on a module with an incompatible core version is marked as such.');
-    $checkbox = $this->xpath('//input[@type="checkbox" and @disabled="disabled" and @name="modules[system_incompatible_core_version_dependencies_test][enable]"]');
-    $this->assert(count($checkbox) == 1, 'Checkbox for the module is disabled.');
+    $assert_session->fieldDisabled('modules[system_incompatible_core_version_dependencies_test][enable]');
+    // @todo Add test cases
+    // 1. info.yml dependent on module with composer.json with incomppatible core
+    // 2. composer.json dependent on module with info.yml with incompatible core.
+    // 3. composer.json dependent on module with composer.josn with incompatible core.
+
   }
 
   /**
@@ -114,17 +121,20 @@ public function testCoreCompatibility() {
     $this->drupalGet('admin/modules');
     $assert_session->fieldDisabled('modules[system_incompatible_core_version_test_1x][enable]');
     $assert_session->fieldDisabled('modules[system_core_incompatible_semver_test][enable]');
+    $assert_session->fieldDisabled('modules[system_core_incompatible_composer_test][enable]');
 
     // Test compatible 'core_version_requirement' and compatible 'core'.
     $this->drupalGet('admin/modules');
     $assert_session->fieldEnabled('modules[common_test][enable]');
     $assert_session->fieldEnabled('modules[system_core_semver_test][enable]');
+    $assert_session->fieldEnabled('modules[system_core_composer_test][enable]');
 
     // Ensure the modules can actually be installed.
     $edit['modules[common_test][enable]'] = 'common_test';
     $edit['modules[system_core_semver_test][enable]'] = 'system_core_semver_test';
+    $edit['modules[system_core_composer_test][enable]'] = 'system_core_composer_test';
     $this->drupalPostForm('admin/modules', $edit, t('Install'));
-    $this->assertModules(['common_test', 'system_core_semver_test'], TRUE);
+    $this->assertModules(['common_test', 'system_core_semver_test', 'system_core_composer_test'], TRUE);
   }
 
   /**
diff --git a/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php b/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php
index 8c94c70620..d6eb41e593 100644
--- a/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Extension/ModuleInstallerTest.php
@@ -119,6 +119,14 @@ public function providerTestInvalidCoreInstall() {
         'system_core_incompatible_semver_test',
         TRUE,
       ],
+      'no dependencies system_core_incompatible_composer_test' => [
+        'system_core_incompatible_semver_test',
+        FALSE,
+      ],
+      'install_dependencies system_core_incompatible_composer_test' => [
+        'system_core_incompatible_semver_test',
+        TRUE,
+      ],
     ];
   }
 
@@ -128,6 +136,7 @@ public function providerTestInvalidCoreInstall() {
    * @covers ::install
    */
   public function testDependencyInvalidCoreInstall() {
+    // @todo Add dataProvider with a composer.json test case.
     $this->expectException(MissingDependencyException::class);
     $this->expectExceptionMessage("Unable to install modules: module 'system_incompatible_core_version_dependencies_test'. Its dependency module 'system_incompatible_core_version_test' is incompatible with this version of Drupal core.");
     $this->container->get('module_installer')->install(['system_incompatible_core_version_dependencies_test']);
@@ -139,6 +148,7 @@ public function testDependencyInvalidCoreInstall() {
    * @covers ::install
    */
   public function testDependencyInvalidCoreInstallNoDependencies() {
+    // @todo Add a composer.json test case.
     $this->assertTrue($this->container->get('module_installer')->install(['system_incompatible_core_version_dependencies_test'], FALSE));
   }