diff --git a/pod/perlclass.pod b/pod/perlclass.pod
index be67f5622784..aa69f9b2bb27 100644
--- a/pod/perlclass.pod
+++ b/pod/perlclass.pod
@@ -185,6 +185,26 @@ Just like regular subroutines, methods I<can> be anonymous:
         }
     }
 
+Methods can also be declared as lexical subroutines, using the C<my> prefix.
+This creates a subroutine that is lexically visible within the current scope,
+but does not appear in the symbol table.  The effect is that of a I<private>
+method; one that can be called from within the class's own code, but not from
+outside.
+
+At present, there is no special syntax for invoking a lexical method, so for
+now they must be called as if they are regular (lexical) subroutines,
+remembering to pass the C<$self> invocant as the first positional argument.
+
+    class LexicalMethod {
+        my method abc ($x, $y) {
+            say "Internal method abc invoked with x=$x y=$y";
+        }
+
+        method xyz {
+            abc($self, "x", "y");
+        }
+    }
+
 =head1 ATTRIBUTES
 
 Specific aspects of the keywords mentioned above are managed using
diff --git a/pod/perldelta.pod b/pod/perldelta.pod
index e0c3a7a72c16..232834a2cdd1 100644
--- a/pod/perldelta.pod
+++ b/pod/perldelta.pod
@@ -27,6 +27,12 @@ here, but most should go in the L</Performance Enhancements> section.
 
 [ List each enhancement as a =head2 entry ]
 
+=head2 Lexical method syntax using C<my method>
+
+Like C<sub> since Perl version 5.18, C<method> can now be prefixed with the
+C<my> keyword.  This declares a subroutine that has lexical, rather than
+package visibility.  See L<perlclass> for more detail.
+
 =head1 Security
 
 XXX Any security-related notices go here. In particular, any security