diff --git a/src/wp-includes/class-wp-customize-manager.php b/src/wp-includes/class-wp-customize-manager.php
index 5e66a1aa75..87a14193f3 100644
--- a/src/wp-includes/class-wp-customize-manager.php
+++ b/src/wp-includes/class-wp-customize-manager.php
@@ -4004,14 +4004,6 @@ final class WP_Customize_Manager {
 			'description'    => $control_description,
 			'section'        => 'header_image',
 			'mime_type'      => 'video',
-			// @todo These button_labels can be removed once WP_Customize_Media_Control provides mime_type-specific labels automatically. See <https://core.trac.wordpress.org/ticket/38796>.
-			'button_labels'  => array(
-				'select'       => __( 'Select Video' ),
-				'change'       => __( 'Change Video' ),
-				'placeholder'  => __( 'No video selected' ),
-				'frame_title'  => __( 'Select Video' ),
-				'frame_button' => __( 'Choose Video' ),
-			),
 			'active_callback' => 'is_header_video_active',
 		) ) );
 
diff --git a/src/wp-includes/customize/class-wp-customize-image-control.php b/src/wp-includes/customize/class-wp-customize-image-control.php
index 38ac608f1f..d056f8be61 100644
--- a/src/wp-includes/customize/class-wp-customize-image-control.php
+++ b/src/wp-includes/customize/class-wp-customize-image-control.php
@@ -18,30 +18,6 @@ class WP_Customize_Image_Control extends WP_Customize_Upload_Control {
 	public $type = 'image';
 	public $mime_type = 'image';
 
-	/**
-	 * Constructor.
-	 *
-	 * @since 3.4.0
-	 * @uses WP_Customize_Upload_Control::__construct()
-	 *
-	 * @param WP_Customize_Manager $manager Customizer bootstrap instance.
-	 * @param string               $id      Control ID.
-	 * @param array                $args    Optional. Arguments to override class property defaults.
-	 */
-	public function __construct( $manager, $id, $args = array() ) {
-		parent::__construct( $manager, $id, $args );
-
-		$this->button_labels = wp_parse_args( $this->button_labels, array(
-			'select'       => __( 'Select Image' ),
-			'change'       => __( 'Change Image' ),
-			'remove'       => __( 'Remove' ),
-			'default'      => __( 'Default' ),
-			'placeholder'  => __( 'No image selected' ),
-			'frame_title'  => __( 'Select Image' ),
-			'frame_button' => __( 'Choose Image' ),
-		) );
-	}
-
 	/**
 	 * @since 3.4.2
 	 * @deprecated 4.1.0
diff --git a/src/wp-includes/customize/class-wp-customize-media-control.php b/src/wp-includes/customize/class-wp-customize-media-control.php
index 446713f623..db990cda69 100644
--- a/src/wp-includes/customize/class-wp-customize-media-control.php
+++ b/src/wp-includes/customize/class-wp-customize-media-control.php
@@ -52,17 +52,7 @@ class WP_Customize_Media_Control extends WP_Customize_Control {
 	public function __construct( $manager, $id, $args = array() ) {
 		parent::__construct( $manager, $id, $args );
 
-		if ( ! ( $this instanceof WP_Customize_Image_Control ) ) {
-			$this->button_labels = wp_parse_args( $this->button_labels, array(
-				'select'       => __( 'Select File' ),
-				'change'       => __( 'Change File' ),
-				'default'      => __( 'Default' ),
-				'remove'       => __( 'Remove' ),
-				'placeholder'  => __( 'No file selected' ),
-				'frame_title'  => __( 'Select File' ),
-				'frame_button' => __( 'Choose File' ),
-			) );
-		}
+		$this->button_labels = wp_parse_args( $this->button_labels, $this->get_default_button_labels() );
 	}
 
 	/**
@@ -209,4 +199,61 @@ class WP_Customize_Media_Control extends WP_Customize_Control {
 		<# } #>
 		<?php
 	}
+
+	/**
+	 * Get default button labels.
+	 *
+	 * Provides an array of the default button labels based on the mime type of the current control.
+	 *
+	 * @since 4.9.0
+	 *
+	 * @return array An associative array of default button labels.
+	 */
+	public function get_default_button_labels() {
+		// Get just the mime type and strip the mime subtype if present.
+		$mime_type = ! empty( $this->mime_type ) ? strtok( ltrim( $this->mime_type, '/' ), '/' ) : 'default';
+
+		switch ( $mime_type ) {
+			case 'video':
+				return array(
+					'select'       => __( 'Select video' ),
+					'change'       => __( 'Change video' ),
+					'default'      => __( 'Default' ),
+					'remove'       => __( 'Remove' ),
+					'placeholder'  => __( 'No video selected' ),
+					'frame_title'  => __( 'Select video' ),
+					'frame_button' => __( 'Choose video' ),
+				);
+			case 'audio':
+				return array(
+					'select'       => __( 'Select audio' ),
+					'change'       => __( 'Change audio' ),
+					'default'      => __( 'Default' ),
+					'remove'       => __( 'Remove' ),
+					'placeholder'  => __( 'No audio selected' ),
+					'frame_title'  => __( 'Select audio' ),
+					'frame_button' => __( 'Choose audio' ),
+				);
+			case 'image':
+				return array(
+					'select'       => __( 'Select image' ),
+					'change'       => __( 'Change image' ),
+					'default'      => __( 'Default' ),
+					'remove'       => __( 'Remove' ),
+					'placeholder'  => __( 'No image selected' ),
+					'frame_title'  => __( 'Select image' ),
+					'frame_button' => __( 'Choose image' ),
+				);
+			default:
+				return array(
+					'select'       => __( 'Select file' ),
+					'change'       => __( 'Change file' ),
+					'default'      => __( 'Default' ),
+					'remove'       => __( 'Remove' ),
+					'placeholder'  => __( 'No file selected' ),
+					'frame_title'  => __( 'Select file' ),
+					'frame_button' => __( 'Choose file' ),
+				);
+		} // End switch().
+	}
 }