diff --git a/Library/Homebrew/os/mac/xcode.rb b/Library/Homebrew/os/mac/xcode.rb
index 4861320b5d..1e852b412c 100644
--- a/Library/Homebrew/os/mac/xcode.rb
+++ b/Library/Homebrew/os/mac/xcode.rb
@@ -253,6 +253,7 @@ module OS
       # and our CI systems have been updated.
       def latest_clang_version
         case MacOS.version
+        when "11.0", "10.16" then "1200.0.22.7"
         when "10.15" then "1103.0.32.59"
         when "10.14" then "1001.0.46.4"
         when "10.13" then "1000.10.44.2"
@@ -268,6 +269,7 @@ module OS
       # that macOS version.
       def minimum_version
         case MacOS.version
+        when "11.0", "10.16" then "12.0.0"
         when "10.15" then "11.0.0"
         when "10.14" then "10.0.0"
         when "10.13" then "9.0.0"