diff --git a/Library/Homebrew/extend/os/linux/extend/ENV/super.rb b/Library/Homebrew/extend/os/linux/extend/ENV/super.rb
index 9af3266abb..bbfc418214 100644
--- a/Library/Homebrew/extend/os/linux/extend/ENV/super.rb
+++ b/Library/Homebrew/extend/os/linux/extend/ENV/super.rb
@@ -40,8 +40,8 @@ module Superenv
   def determine_rpath_paths(formula)
     PATH.new(
       *formula&.lib,
-      "#{HOMEBREW_PREFIX}/lib",
       PATH.new(run_time_deps.map { |dep| dep.opt_lib.to_s }).existing,
+      "#{HOMEBREW_PREFIX}/lib",
     )
   end