diff --git a/Library/Homebrew/extend/os/mac/diagnostic.rb b/Library/Homebrew/extend/os/mac/diagnostic.rb
index a2d6f19a72..c8439b06cd 100644
--- a/Library/Homebrew/extend/os/mac/diagnostic.rb
+++ b/Library/Homebrew/extend/os/mac/diagnostic.rb
@@ -433,9 +433,13 @@ module Homebrew
         locator = MacOS.sdk_locator
 
         source = if locator.source == :clt
+          return if MacOS::CLT.below_minimum_version? # Handled by other diagnostics.
+
           update_instructions = MacOS::CLT.update_instructions
           "Command Line Tools (CLT)"
         else
+          return if MacOS::Xcode.below_minimum_version? # Handled by other diagnostics.
+
           update_instructions = MacOS::Xcode.update_instructions
           "Xcode"
         end
diff --git a/Library/Homebrew/test/os/mac/diagnostic_spec.rb b/Library/Homebrew/test/os/mac/diagnostic_spec.rb
index e7bd09de12..c0a0e2573e 100644
--- a/Library/Homebrew/test/os/mac/diagnostic_spec.rb
+++ b/Library/Homebrew/test/os/mac/diagnostic_spec.rb
@@ -47,6 +47,8 @@ describe Homebrew::Diagnostic::Checks do
     before do
       allow(DevelopmentTools).to receive(:installed?).and_return(true)
       allow(OS::Mac).to receive(:version).and_return(macos_version)
+      allow(OS::Mac::CLT).to receive(:below_minimum_version?).and_return(false)
+      allow(OS::Mac::Xcode).to receive(:below_minimum_version?).and_return(false)
     end
 
     it "doesn't trigger when SDK root is not needed" do