diff --git a/src/Template.php b/src/Template.php
index 530532a5d..aeca14677 100644
--- a/src/Template.php
+++ b/src/Template.php
@@ -410,23 +410,8 @@ abstract class Template
         try {
             $this->ensureSecurityChecked();
             yield from $this->doDisplay($context, $blocks);
-        } catch (Error $e) {
-            if (!$e->getSourceContext()) {
-                $e->setSourceContext($this->getSourceContext());
-            }
-
-            // this is mostly useful for \Twig\Error\LoaderError exceptions
-            // see \Twig\Error\LoaderError
-            if (-1 === $e->getTemplateLine()) {
-                $e->guess();
-            }
-
-            throw $e;
         } catch (\Throwable $e) {
-            $e = new RuntimeError(\sprintf('An exception has been thrown during the rendering of a template ("%s").', $e->getMessage()), -1, $this->getSourceContext(), $e);
-            $e->guess();
-
-            throw $e;
+            $this->handleException($e);
         }
     }
 
@@ -457,23 +442,8 @@ abstract class Template
             try {
                 $template->ensureSecurityChecked();
                 yield from $template->$block($context, $blocks);
-            } catch (Error $e) {
-                if (!$e->getSourceContext()) {
-                    $e->setSourceContext($template->getSourceContext());
-                }
-
-                // this is mostly useful for \Twig\Error\LoaderError exceptions
-                // see \Twig\Error\LoaderError
-                if (-1 === $e->getTemplateLine()) {
-                    $e->guess();
-                }
-
-                throw $e;
             } catch (\Throwable $e) {
-                $e = new RuntimeError(\sprintf('An exception has been thrown during the rendering of a template ("%s").', $e->getMessage()), -1, $template->getSourceContext(), $e);
-                $e->guess();
-
-                throw $e;
+                $template->handleException($e);
             }
         } elseif ($parent = $this->getParent($context)) {
             yield from $parent->unwrap()->yieldBlock($name, $context, array_merge($this->blocks, $blocks), false, $templateContext ?? $this);
@@ -541,4 +511,23 @@ abstract class Template
      * @return iterable<scalar|\Stringable|null>
      */
     abstract protected function doDisplay(array $context, array $blocks = []): iterable;
+
+    private function handleException(\Throwable $error): never
+    {
+        if ($error instanceof Error) {
+            if (!$error->getSourceContext()) {
+                $error->setSourceContext($this->getSourceContext());
+            }
+            if (-1 === $error->getTemplateLine()) {
+                $error->guess();
+            }
+
+            throw $error;
+        }
+
+        $error = new RuntimeError(\sprintf('An exception has been thrown during the rendering of a template ("%s").', $error->getMessage()), -1, $this->getSourceContext(), $error);
+        $error->guess();
+
+        throw $error;
+    }
 }
diff --git a/tests/ErrorTest.php b/tests/ErrorTest.php
index 5ec565a7f..4f409b18f 100644
--- a/tests/ErrorTest.php
+++ b/tests/ErrorTest.php
@@ -36,6 +36,7 @@ use Twig\Node\Node;
 use Twig\Source;
 use Twig\Token;
 use Twig\TokenParser\AbstractTokenParser;
+use Twig\TwigFunction;
 
 class ErrorTest extends TestCase
 {
@@ -47,6 +48,24 @@ class ErrorTest extends TestCase
         $this->assertStringContainsString('tests'.\DIRECTORY_SEPARATOR.'ErrorTest.php', $error->getMessage());
     }
 
+    public function testTwigErrorIsEnrichedWithoutBeingWrapped(): void
+    {
+        $twig = new Environment(new ArrayLoader(['index' => "foo\n{{ fail() }}"]), ['debug' => true, 'cache' => false]);
+        $error = null;
+        $twig->addFunction(new TwigFunction('fail', static function () use (&$error): never {
+            throw $error = new RuntimeError('Runtime error.');
+        }));
+
+        try {
+            $twig->render('index');
+            $this->fail();
+        } catch (RuntimeError $e) {
+            $this->assertSame($error, $e);
+            $this->assertSame(2, $e->getTemplateLine());
+            $this->assertSame('index', $e->getSourceContext()->getName());
+        }
+    }
+
     public function testTwigExceptionGuessWithMissingVarAndArrayLoader(): void
     {
         $loader = new ArrayLoader([