diff --git src/wp-admin/update-core.php src/wp-admin/update-core.php
index 38c30d4..4788250 100644
--- src/wp-admin/update-core.php
+++ src/wp-admin/update-core.php
@@ -53,11 +53,10 @@ function list_core_update( $update ) {
 	$mysql_version  = $wpdb->db_version();
 	$show_buttons = true;
 	if ( 'development' == $update->response ) {
-		$message = __('You are using a development version of WordPress. You can update to the latest nightly build automatically or download the nightly build and install it manually:');
-		$download = __('Download nightly build');
+		$message = __('You are using a development version of WordPress. You can update to the latest nightly build automatically:');
 	} else {
 		if ( $current ) {
-			$message = sprintf( __( 'If you need to re-install version %s, you can do so here or download the package and re-install manually:' ), $version_string );
+			$message = sprintf( __( 'If you need to re-install version %s, you can do so here:' ), $version_string );
 			$submit = __('Re-install Now');
 			$form_action = 'update-core.php?action=do-core-reinstall';
 		} else {
@@ -74,11 +73,10 @@ function list_core_update( $update ) {
 			elseif ( !$mysql_compat )
 				$message = sprintf( __('You cannot update because <a href="https://codex.wordpress.org/Version_%1$s">WordPress %1$s</a> requires MySQL version %2$s or higher. You are running version %3$s.'), $update->current, $update->mysql_version, $mysql_version );
 			else
-				$message = 	sprintf(__('You can update to <a href="https://codex.wordpress.org/Version_%1$s">WordPress %2$s</a> automatically or download the package and install it manually:'), $update->current, $version_string);
+				$message = 	sprintf(__('You can update to <a href="https://codex.wordpress.org/Version_%1$s">WordPress %2$s</a> automatically:'), $update->current, $version_string);
 			if ( !$mysql_compat || !$php_compat )
 				$show_buttons = false;
 		}
-		$download = sprintf(__('Download %s'), $version_string);
 	}
 
 	echo '<p>';
@@ -96,7 +94,6 @@ function list_core_update( $update ) {
 		} else {
 			submit_button( $submit, 'button', 'upgrade', false );
 		}
-		echo '&nbsp;<a href="' . esc_url( $update->download ) . '" class="button">' . $download . '</a>&nbsp;';
 	}
 	if ( 'en_US' != $update->locale )
 		if ( !isset( $update->dismissed ) || !$update->dismissed )