diff --git a/Library/Homebrew/rubocops/lines.rb b/Library/Homebrew/rubocops/lines.rb
index 0fbe27452a..a945f81dc1 100644
--- a/Library/Homebrew/rubocops/lines.rb
+++ b/Library/Homebrew/rubocops/lines.rb
@@ -219,6 +219,27 @@ module RuboCop
         end
       end
 
+      # This cop makes sure that formulae depend on `openssl` instead of `quictls`.
+      #
+      # @api private
+      class QuicTLSCheck < FormulaCop
+        extend AutoCorrector
+
+        def audit_formula(_node, _class_node, _parent_class_node, body_node)
+          return if body_node.nil?
+
+          # Enforce use of OpenSSL for TLS dependency in core
+          return if formula_tap != "homebrew-core"
+
+          find_method_with_args(body_node, :depends_on, "quictls") do
+            problem "Formulae in homebrew/core should use 'depends_on \"openssl@3\"' " \
+                    "instead of '#{@offensive_node.source}'." do |corrector|
+              corrector.replace(@offensive_node.source_range, "depends_on \"openssl@3\"")
+            end
+          end
+        end
+      end
+
       # This cop makes sure that formulae do not depend on `pyoxidizer` at build-time
       # or run-time.
       #