diff --git a/README.md b/README.md
index 9f94ca8..0cfd557 100644
--- a/README.md
+++ b/README.md
@@ -46,6 +46,7 @@ on [our virtual postcard wall](https://spatie.be/open-source/postcards).
 This package requires PHP 8 and the [pcntl](https://www.php.net/manual/en/intro.pcntl.php) extensions which is installed in many Unix and Mac systems by default.
 
 ❗️ [pcntl](https://www.php.net/manual/en/intro.pcntl.php) only works in CLI processes, not in a web context.
+❗️ [posix](https://www.php.net/manual/en/book.posix.php) required for correct handling of process termination for Alpine Linux.
 
 ## Installation
 
diff --git a/src/Fork.php b/src/Fork.php
index 1bcc2a1..3a841a2 100644
--- a/src/Fork.php
+++ b/src/Fork.php
@@ -127,6 +127,10 @@ protected function forkForTask(Task $task): Task
 
             $this->executeInChildTask($task, $socketToParent);
 
+            if (extension_loaded('posix')) {
+                posix_kill(getmypid(), SIGKILL);
+            }
+
             exit;
         }