diff --git a/include/boost/asio/detail/impl/epoll_reactor.ipp b/include/boost/asio/detail/impl/epoll_reactor.ipp
index f66e8e59..a9c2602f 100644
--- a/include/boost/asio/detail/impl/epoll_reactor.ipp
+++ b/include/boost/asio/detail/impl/epoll_reactor.ipp
@@ -385,6 +385,15 @@ void epoll_reactor::deregister_descriptor(socket_type descriptor,
           reinterpret_cast<uintmax_t>(descriptor_data)));
 
     scheduler_.post_deferred_completions(ops);
+
+    // Leave descriptor_data set so that it will be freed by the subsequent
+    // call to cleanup_descriptor_data.
+  }
+  else
+  {
+    // We are shutting down, so prevent cleanup_descriptor_data from freeing
+    // the descriptor_data object and let the destructor free it instead.
+    descriptor_data = 0;
   }
 }
 
@@ -413,6 +422,15 @@ void epoll_reactor::deregister_internal_descriptor(socket_type descriptor,
     BOOST_ASIO_HANDLER_REACTOR_DEREGISTRATION((
           context(), static_cast<uintmax_t>(descriptor),
           reinterpret_cast<uintmax_t>(descriptor_data)));
+
+    // Leave descriptor_data set so that it will be freed by the subsequent
+    // call to cleanup_descriptor_data.
+  }
+  else
+  {
+    // We are shutting down, so prevent cleanup_descriptor_data from freeing
+    // the descriptor_data object and let the destructor free it instead.
+    descriptor_data = 0;
   }
 }
 
diff --git a/include/boost/asio/detail/impl/kqueue_reactor.ipp b/include/boost/asio/detail/impl/kqueue_reactor.ipp
index 8656880e..c492646a 100644
--- a/include/boost/asio/detail/impl/kqueue_reactor.ipp
+++ b/include/boost/asio/detail/impl/kqueue_reactor.ipp
@@ -329,6 +329,15 @@ void kqueue_reactor::deregister_descriptor(socket_type descriptor,
           reinterpret_cast<uintmax_t>(descriptor_data)));
 
     scheduler_.post_deferred_completions(ops);
+
+    // Leave descriptor_data set so that it will be freed by the subsequent
+    // call to cleanup_descriptor_data.
+  }
+  else
+  {
+    // We are shutting down, so prevent cleanup_descriptor_data from freeing
+    // the descriptor_data object and let the destructor free it instead.
+    descriptor_data = 0;
   }
 }
 
@@ -361,6 +370,15 @@ void kqueue_reactor::deregister_internal_descriptor(socket_type descriptor,
     BOOST_ASIO_HANDLER_REACTOR_DEREGISTRATION((
           context(), static_cast<uintmax_t>(descriptor),
           reinterpret_cast<uintmax_t>(descriptor_data)));
+
+    // Leave descriptor_data set so that it will be freed by the subsequent
+    // call to cleanup_descriptor_data.
+  }
+  else
+  {
+    // We are shutting down, so prevent cleanup_descriptor_data from freeing
+    // the descriptor_data object and let the destructor free it instead.
+    descriptor_data = 0;
   }
 }