reverted:
--- b/core/modules/taxonomy/tests/modules/taxonomy_test/taxonomy_test.module
+++ a/core/modules/taxonomy/tests/modules/taxonomy_test/taxonomy_test.module
@@ -45,8 +45,4 @@
   if (\Drupal::state()->get('taxonomy_test.disable_parent_form_element', FALSE)) {
     $form['relations']['parent']['#disabled'] = TRUE;
   }
-
-  if (\Drupal::state()->get('taxonomy_test.disable_required_name', FALSE)) {
-    $form['name']['widget'][0]['value']['#required'] = FALSE;
-  }
 }
reverted:
--- b/core/modules/taxonomy/tests/src/Functional/TermTest.php
+++ a/core/modules/taxonomy/tests/src/Functional/TermTest.php
@@ -447,17 +447,6 @@
     ]));
     $this->drupalGet('admin/structure/taxonomy/manage/' . $this->vocabulary->id() . '/add');
     $this->assertSession()->pageTextNotContains('Save and go to list');
-
-    // Test empty name does not throw a PHP warning.
-    // Make field optional to force the scenario.
-    \Drupal::state()->set('taxonomy_test.disable_required_name', TRUE);
-    $this->drupalGet('admin/structure/taxonomy/manage/' . $this->vocabulary->id() . '/add');
-    $edit = [
-      'description[0][value]' => $this->randomMachineName(100),
-    ];
-
-    $this->submitForm($edit, 'Save');
-    $this->assertSession()->statusMessageContains('Name field is required.', 'error');
   }
 
   /**
only in patch2:
unchanged:
--- /dev/null
+++ b/core/modules/taxonomy/tests/src/Functional/TaxonomyImageTest.php
@@ -0,0 +1,95 @@
+<?php
+
+namespace Drupal\Tests\taxonomy\Functional;
+
+use Drupal\field\Entity\FieldConfig;
+use Drupal\Tests\TestFileCreationTrait;
+use Drupal\field\Entity\FieldStorageConfig;
+
+/**
+ * Tests image upload on taxonomy terms.
+ *
+ * @group taxonomy
+ */
+class TaxonomyImageTest extends TaxonomyTestBase {
+
+  use TestFileCreationTrait {
+    getTestFiles as drupalGetTestFiles;
+    compareFiles as drupalCompareFiles;
+  }
+
+  /**
+   * Used taxonomy vocabulary.
+   *
+   * @var \Drupal\taxonomy\VocabularyInterface
+   */
+  protected $vocabulary;
+
+  /**
+   * Modules to enable.
+   *
+   * @var array
+   */
+  protected static $modules = ['image'];
+
+  /**
+   * {@inheritdoc}
+   */
+  protected $defaultTheme = 'stark';
+
+  /**
+   * {@inheritdoc}
+   */
+  protected function setUp(): void {
+    parent::setUp();
+
+    $this->vocabulary = $this->createVocabulary();
+    $entity_type = 'taxonomy_term';
+    $name = 'field_test';
+    FieldStorageConfig::create([
+      'field_name' => $name,
+      'entity_type' => $entity_type,
+      'type' => 'image',
+    ])->save();
+    FieldConfig::create([
+      'field_name' => $name,
+      'entity_type' => $entity_type,
+      'bundle' => $this->vocabulary->id(),
+      'settings' => [],
+    ])->save();
+    /** @var \Drupal\Core\Entity\EntityDisplayRepositoryInterface $display_repository */
+    $display_repository = \Drupal::service('entity_display.repository');
+    $display_repository->getFormDisplay($entity_type, $this->vocabulary->id())
+      ->setComponent($name, [
+        'type' => 'image_image',
+        'settings' => [],
+      ])
+      ->save();
+  }
+
+  public function testTaxonomyImageUpload() {
+    $user = $this->drupalCreateUser(['administer taxonomy']);
+    $this->drupalLogin($user);
+
+    // Create a term and upload the image.
+    $files = $this->drupalGetTestFiles('image');
+    $image = array_pop($files);
+
+    // Ensure that file can be uploaded before taxonomy term has a name.
+    $edit = [
+      'files[field_test_0]' => \Drupal::service('file_system')->realpath($image->uri),
+    ];
+    $this->drupalGet('admin/structure/taxonomy/manage/' . $this->vocabulary->id() . '/add');
+    $this->submitForm($edit, 'Upload');
+
+    $edit = [
+      'name[0][value]' => $this->randomMachineName(),
+      'field_test[0][alt]' => $this->randomMachineName(),
+    ];
+    $this->submitForm($edit, 'Save');
+    $terms = \Drupal::entityTypeManager()->getStorage('taxonomy_term')->loadByProperties(['name' => $edit['name[0][value]']]);
+    $term = reset($terms);
+    $this->assertSession()->pageTextContains('Created new term ' . $term->getName() . '.');
+  }
+
+}