diff --git a/src/core/lib/surface/channel_init.h b/src/core/lib/surface/channel_init.h
index 7509fd664b9..d800c83f160 100644
--- a/src/core/lib/surface/channel_init.h
+++ b/src/core/lib/surface/channel_init.h
@@ -43,7 +43,7 @@ enum {
   // priority, such as auth filters.
   GRPC_CHANNEL_INIT_PRIORITY_MED = 10000,
   // For filters that need to be close to top or bottom, such as protocol-level
-  // filters (client_authority, http-client, http-server) and stats (census).
+  // filters (client_authority, http-client, http-server).
   GRPC_CHANNEL_INIT_PRIORITY_HIGH = 20000,
   // For filters that need to be very close to the wire or surface.
   GRPC_CHANNEL_INIT_PRIORITY_VERY_HIGH = 30000,
diff --git a/src/core/lib/surface/init_secure.cc b/src/core/lib/surface/init_secure.cc
index 38feae22f5b..8058aaa804d 100644
--- a/src/core/lib/surface/init_secure.cc
+++ b/src/core/lib/surface/init_secure.cc
@@ -67,7 +67,7 @@ static bool maybe_prepend_server_auth_filter(
 }
 
 void grpc_register_security_filters(void) {
-  // Register the auth client with a low priority to allow the authority
+  // Register the auth client with a medium priority to allow the authority
   // filter -on which the auth filter depends- to be higher on the channel
   // stack.
   grpc_channel_init_register_stage(GRPC_CLIENT_SUBCHANNEL,