diff --git a/Library/Homebrew/cask/installer.rb b/Library/Homebrew/cask/installer.rb
index 369b05f1d0..cbf5dc389b 100644
--- a/Library/Homebrew/cask/installer.rb
+++ b/Library/Homebrew/cask/installer.rb
@@ -328,8 +328,12 @@ module Cask
 
     def missing_cask_and_formula_dependencies
       collect_cask_and_formula_dependencies.reject do |cask_or_formula|
-        (cask_or_formula.try(:installed?) || cask_or_formula.try(:any_version_installed?)) &&
-          (cask_or_formula.respond_to?(:opt_linked?) ? cask_or_formula.opt_linked? : true)
+        installed = if cask_or_formula.respond_to?(:any_version_installed?)
+          cask_or_formula.any_version_installed?
+        else
+          cask_or_formula.try(:installed?)
+        end
+        installed && (cask_or_formula.respond_to?(:opt_linked?) ? cask_or_formula.opt_linked? : true)
       end
     end