diff --git a/cibuildwheel/architecture.py b/cibuildwheel/architecture.py
index 82822b13..a922f6f5 100644
--- a/cibuildwheel/architecture.py
+++ b/cibuildwheel/architecture.py
@@ -93,12 +93,8 @@ class Architecture(Enum):
             # x86_64 machines can run i686 containers
             result.add(Architecture.i686)
 
-        if platform == "windows":
-            if Architecture.ARM64 in result:
-                result.add(Architecture.AMD64)
-                result.add(Architecture.x86)
-            elif Architecture.AMD64 in result:
-                result.add(Architecture.x86)
+        if platform == "windows" and Architecture.AMD64 in result:
+            result.add(Architecture.x86)
 
         return result
 
diff --git a/docs/options.md b/docs/options.md
index 58d9587c..55352159 100644
--- a/docs/options.md
+++ b/docs/options.md
@@ -369,7 +369,7 @@ Default: `auto`
 |---|---|---|---|---|
 | Linux / Intel | `x86_64` | `x86_64` `i686` | `x86_64` | `i686` |
 | Windows / Intel | `AMD64` | `AMD64` `x86` | `AMD64` | `x86` |
-| Windows / ARM64 | `ARM64` | `ARM64` `AMD64` `x86` | `ARM64` `AMD64` | `x86` |
+| Windows / ARM64 | `ARM64` | `ARM64` | `ARM64` | |
 | macOS / Intel | `x86_64` | `x86_64` | `x86_64` |  |
 | macOS / Apple Silicon | `arm64` | `arm64` | `arm64` |  |