diff --git a/src/wp-admin/includes/image.php b/src/wp-admin/includes/image.php
index 935c613d561e9..b994d4cd13982 100644
--- a/src/wp-admin/includes/image.php
+++ b/src/wp-admin/includes/image.php
@@ -24,7 +24,10 @@
  */
 function wp_crop_image( $src, $src_x, $src_y, $src_w, $src_h, $dst_w, $dst_h, $src_abs = false, $dst_file = false ) {
 	$src_file = $src;
-	if ( is_numeric( $src ) ) { // Handle int as attachment ID.
+	$tmp_file = false;
+
+	// Handle int as attachment ID.
+	if ( is_numeric( $src ) ) {
 		$src_file = get_attached_file( $src );
 
 		if ( ! file_exists( $src_file ) ) {
@@ -38,7 +41,29 @@ function wp_crop_image( $src, $src_x, $src_y, $src_w, $src_h, $dst_w, $dst_h, $s
 		}
 	}
 
+	if ( wp_http_validate_url( $src ) ) {
+		if ( ! function_exists( 'download_url' ) ) {
+			require_once ABSPATH . 'wp-admin/includes/file.php';
+		}
+
+		$tmp_file = download_url( $src );
+		if ( is_wp_error( $tmp_file ) ) {
+			return $tmp_file;
+		}
+
+		if ( wp_http_validate_url( $src_file ) ) {
+			$src_file = $tmp_file;
+		}
+
+		$src = $tmp_file;
+	}
+
 	$editor = wp_get_image_editor( $src );
+
+	if ( $tmp_file ) {
+		wp_delete_file( $tmp_file );
+	}
+
 	if ( is_wp_error( $editor ) ) {
 		return $editor;
 	}
diff --git a/tests/phpunit/tests/image/functions.php b/tests/phpunit/tests/image/functions.php
index 94cc0111f0d4c..b21ad700fa11b 100644
--- a/tests/phpunit/tests/image/functions.php
+++ b/tests/phpunit/tests/image/functions.php
@@ -636,25 +636,47 @@ public function test_wp_crop_image_with_file() {
 	}
 
 	/**
+	 * @ticket 42064
+	 *
 	 * @covers ::wp_crop_image
 	 * @requires function imagejpeg
-	 * @requires extension openssl
 	 */
 	public function test_wp_crop_image_with_url() {
-		$file = wp_crop_image(
-			'https://s.w.org/screenshots/3.9/dashboard.png',
-			0,
-			0,
-			100,
-			100,
-			100,
-			100,
-			false,
-			DIR_TESTDATA . '/images/' . __FUNCTION__ . '.png'
-		);
+		$url                 = 'https://example.org/canola.jpg';
+		$mock_image_download = static function ( $response, $args, $requested_url ) use ( $url ) {
+			if ( $url !== $requested_url ) {
+				return $response;
+			}
+
+			if ( empty( $args['filename'] ) || ! copy( DIR_TESTDATA . '/images/canola.jpg', $args['filename'] ) ) {
+				return new WP_Error( 'copy_failed', 'Could not copy the image fixture.' );
+			}
 
-		if ( is_wp_error( $file ) && $file->get_error_code() === 'invalid_image' ) {
-			$this->markTestSkipped( 'Tests_Image_Functions::test_wp_crop_image_url() cannot access remote image.' );
+			return array(
+				'response' => array(
+					'code'    => 200,
+					'message' => 'OK',
+				),
+				'headers'  => array(),
+				'cookies'  => array(),
+				'body'     => '',
+			);
+		};
+
+		add_filter( 'pre_http_request', $mock_image_download, 10, 3 );
+
+		try {
+			$file = wp_crop_image(
+				$url,
+				0,
+				0,
+				100,
+				100,
+				100,
+				100
+			);
+		} finally {
+			remove_filter( 'pre_http_request', $mock_image_download, 10 );
 		}
 
 		$this->assertNotWPError( $file, 'Cropping the image resulted in a WP_Error.' );