diff --git a/lib/rubocop/cop/metrics/perceived_complexity.rb b/lib/rubocop/cop/metrics/perceived_complexity.rb
index 93bb75ea5ffd..41cb33c601c7 100644
--- a/lib/rubocop/cop/metrics/perceived_complexity.rb
+++ b/lib/rubocop/cop/metrics/perceived_complexity.rb
@@ -42,12 +42,13 @@ def complexity_score_for(node)
             # If cond is nil, that means each when has an expression that
             # evaluates to true or false. It's just an alternative to
             # if/elsif/elsif... so the when nodes count.
+            nb_branches = node.when_branches.length + (node.else_branch ? 1 : 0)
             if node.condition.nil?
-              node.when_branches.length
+              nb_branches
             else
               # Otherwise, the case node gets 0.8 complexity points and each
               # when gets 0.2.
-              (0.8 + 0.2 * node.when_branches.length).round
+              (0.8 + 0.2 * nb_branches).round
             end
           when :if
             node.else? && !node.elsif? ? 2 : 1
diff --git a/spec/rubocop/cop/metrics/perceived_complexity_spec.rb b/spec/rubocop/cop/metrics/perceived_complexity_spec.rb
index 8eb470188a54..e53f09c1f926 100644
--- a/spec/rubocop/cop/metrics/perceived_complexity_spec.rb
+++ b/spec/rubocop/cop/metrics/perceived_complexity_spec.rb
@@ -156,6 +156,22 @@ def method_name
       RUBY
     end
 
+    it 'counts else in a case with no argument' do
+      expect_offense(<<~RUBY)
+        def method_name
+        ^^^^^^^^^^^^^^^ Perceived complexity for method_name is too high. [4/1]
+          case
+          when value == 1
+            call_foo
+          when value == 2
+            call_bar
+          else
+            call_baz
+          end
+        end
+      RUBY
+    end
+
     it 'registers an offense for &&' do
       expect_offense(<<~RUBY)
         def method_name