diff --git a/Help/command/target_sources.rst b/Help/command/target_sources.rst
index 374d828a52..b3c55390dd 100644
--- a/Help/command/target_sources.rst
+++ b/Help/command/target_sources.rst
@@ -80,8 +80,8 @@ have zero or more named file sets. Each file set has a name, a type, a scope of
 files within those directories.
 
 .. versionchanged:: 4.4
-  A file may only belong to at most one file set in a target. See policy
-  :policy:`CMP0211`.
+  A file may belong to at most one non-``HEADERS`` file set in a target.
+  See policy :policy:`CMP0211`.
 
  The acceptable types include:
 
diff --git a/Help/manual/cmake-policies.7.rst b/Help/manual/cmake-policies.7.rst
index 994061436a..9a4f7c0ba9 100644
--- a/Help/manual/cmake-policies.7.rst
+++ b/Help/manual/cmake-policies.7.rst
@@ -108,7 +108,7 @@ Policies Introduced by CMake 4.4
    CMP0214: Honor CMAKE_EXE_LINKER_FLAGS for Swift executable targets. </policy/CMP0214>
    CMP0213: file(ARCHIVE_{CREATE,EXTRACT}) encode archive paths as UTF-8 by default. </policy/CMP0213>
    CMP0212: add_custom_command DEPENDS does not strip .exe suffixes. </policy/CMP0212>
-   CMP0211: A file may belong to at most one file set in a target. </policy/CMP0211>
+   CMP0211: A file may belong to at most one non-HEADERS file set in a target. </policy/CMP0211>
 
 Policies Introduced by CMake 4.3
 --------------------------------
diff --git a/Help/policy/CMP0211.rst b/Help/policy/CMP0211.rst
index 376ae1e956..54ddf709e2 100644
--- a/Help/policy/CMP0211.rst
+++ b/Help/policy/CMP0211.rst
@@ -3,8 +3,8 @@ CMP0211
 
 .. versionadded:: 4.4
 
-A file may belong to at most one :ref:`file set <file sets>` in a target except
-for the ``HEADERS`` file set type.
+A file may belong to at most one non-``HEADERS`` :ref:`file set <file sets>`
+in a target.
 
 In CMake 4.3 and below, it was possible to specify the same file
 in multiple file sets in a target.  In CMake 4.4 and above, a file
diff --git a/Source/cmPolicies.h b/Source/cmPolicies.h
index 1142b0ed9f..752be99be7 100644
--- a/Source/cmPolicies.h
+++ b/Source/cmPolicies.h
@@ -631,8 +631,9 @@ class cmMakefile;
          "CMAKE_<LANG>_LINK_FLAGS adds link flags to all target types.", 4,   \
          3, 0, WARN)                                                          \
   SELECT(POLICY, CMP0211,                                                     \
-         "A file may belong to at most one file set in a target.", 4, 4, 0,   \
-         WARN)                                                                \
+         "A file may belong to at most one non-HEADERS file set in a "        \
+         "target.",                                                           \
+         4, 4, 0, WARN)                                                       \
   SELECT(POLICY, CMP0212,                                                     \
          "add_custom_command DEPENDS does not strip .exe suffixes.", 4, 4, 0, \
          WARN)                                                                \
diff --git a/Tests/RunCMake/target_sources/CMP0211-WARN-stderr.txt b/Tests/RunCMake/target_sources/CMP0211-WARN-stderr.txt
index 17e62769e3..c886339289 100644
--- a/Tests/RunCMake/target_sources/CMP0211-WARN-stderr.txt
+++ b/Tests/RunCMake/target_sources/CMP0211-WARN-stderr.txt
@@ -1,7 +1,8 @@
 CMake Warning \(policy\) in CMakeLists\.txt:
-  Policy CMP0211 is not set: A file may belong to at most one file set in a
-  target\.  Run "cmake --help-policy CMP0211" for policy details\.  Use the
-  cmake_policy command to set the policy and suppress this warning\.
+  Policy CMP0211 is not set: A file may belong to at most one non-HEADERS
+  file set in a target\.  Run "cmake --help-policy CMP0211" for policy
+  details\.  Use the cmake_policy command to set the policy and suppress this
+  warning\.
 
   In target "foo1" the file
 
@@ -12,9 +13,10 @@ This warning is for project developers\.  Use -Wno-author or -Wno-policy to
 suppress it\.
 
 CMake Warning \(policy\) in CMakeLists\.txt:
-  Policy CMP0211 is not set: A file may belong to at most one file set in a
-  target\.  Run "cmake --help-policy CMP0211" for policy details\.  Use the
-  cmake_policy command to set the policy and suppress this warning\.
+  Policy CMP0211 is not set: A file may belong to at most one non-HEADERS
+  file set in a target\.  Run "cmake --help-policy CMP0211" for policy
+  details\.  Use the cmake_policy command to set the policy and suppress this
+  warning\.
 
   In target "foo2" the file