diff --git a/Library/Homebrew/os/linux/ld.rb b/Library/Homebrew/os/linux/ld.rb
index 3dc85cb23e119..9227792b29920 100644
--- a/Library/Homebrew/os/linux/ld.rb
+++ b/Library/Homebrew/os/linux/ld.rb
@@ -7,13 +7,18 @@ module Linux
     module Ld
       sig { returns(String) }
       def self.brewed_ld_so_diagnostics
+        @brewed_ld_so_diagnostics ||= T.let({}, T.nilable(T::Hash[Pathname, String]))
+
         brewed_ld_so = HOMEBREW_PREFIX/"lib/ld.so"
         return "" unless brewed_ld_so.exist?
 
-        ld_so_output = Utils.popen_read(brewed_ld_so, "--list-diagnostics")
-        return "" unless $CHILD_STATUS.success?
+        brewed_ld_so_target = brewed_ld_so.readlink
+        @brewed_ld_so_diagnostics[brewed_ld_so_target] ||= begin
+          ld_so_output = Utils.popen_read(brewed_ld_so, "--list-diagnostics")
+          ld_so_output if $CHILD_STATUS.success?
+        end
 
-        ld_so_output
+        @brewed_ld_so_diagnostics[brewed_ld_so_target].to_s
       end
 
       sig { returns(String) }