diff --git a/changelog/fix_false_positive_for_style_redundant_self_cop.md b/changelog/fix_false_positive_for_style_redundant_self_cop.md
new file mode 100644
index 00000000000..5ca75ff3406
--- /dev/null
+++ b/changelog/fix_false_positive_for_style_redundant_self_cop.md
@@ -0,0 +1 @@
+* [#9613](https://github.com/rubocop/rubocop/issues/9613): Fix a false positive for `Style/RedundantSelf` when a self receiver on an lvalue of mlhs arguments. ([@koic][])
diff --git a/lib/rubocop/cop/style/redundant_self.rb b/lib/rubocop/cop/style/redundant_self.rb
index 02decdee870..2a4df86e899 100644
--- a/lib/rubocop/cop/style/redundant_self.rb
+++ b/lib/rubocop/cop/style/redundant_self.rb
@@ -144,8 +144,12 @@ def regular_method_call?(node)
         end
 
         def on_argument(node)
-          name, = *node
-          @local_variables_scopes[node] << name
+          if node.mlhs_type?
+            on_args(node)
+          else
+            name, = *node
+            @local_variables_scopes[node] << name
+          end
         end
 
         def allow_self(node)
diff --git a/spec/rubocop/cop/style/redundant_self_spec.rb b/spec/rubocop/cop/style/redundant_self_spec.rb
index 72eaca162d8..045532ee8a2 100644
--- a/spec/rubocop/cop/style/redundant_self_spec.rb
+++ b/spec/rubocop/cop/style/redundant_self_spec.rb
@@ -234,4 +234,13 @@ def self.requested_specs
   it 'accepts a self receiver of methods also defined on `Kernel`' do
     expect_no_offenses('self.open')
   end
+
+  it 'accepts a self receiver on an lvalue of mlhs arguments' do
+    expect_no_offenses(<<~RUBY)
+      def do_something((a, b)) # This method expects Array that has 2 elements as argument.
+        self.a = a
+        self.b.some_method_call b
+      end
+    RUBY
+  end
 end