diff --git a/core/core.services.yml b/core/core.services.yml
index 383c913..7c5872d 100644
--- a/core/core.services.yml
+++ b/core/core.services.yml
@@ -589,12 +589,12 @@ services:
     class: Drupal\Core\StackMiddleware\KernelPreHandle
     arguments: ['@kernel']
     tags:
-      - { name: http_middleware, priority: 100 }
+      - { name: http_middleware, priority: -100 }
     lazy: true
   http_middleware.session:
     class: Drupal\Core\StackMiddleware\Session
     tags:
-      - { name: http_middleware, priority: 50 }
+      - { name: http_middleware, priority: -200 }
     calls:
       - [setContainer, ['@service_container']]
     lazy: true
diff --git a/core/modules/page_cache/page_cache.services.yml b/core/modules/page_cache/page_cache.services.yml
index bbddfa7..a744b4b 100644
--- a/core/modules/page_cache/page_cache.services.yml
+++ b/core/modules/page_cache/page_cache.services.yml
@@ -3,4 +3,4 @@ services:
     class: Drupal\page_cache\StackMiddleware\PageCache
     arguments: ['@cache.render', '@page_cache_request_policy', '@page_cache_response_policy']
     tags:
-      - { name: http_middleware, priority: 200 }
+      - { name: http_middleware, priority: 0 }