diff --git a/Modules/FindPython/Support.cmake b/Modules/FindPython/Support.cmake
index 6e0cf28d1f..857261aca8 100644
--- a/Modules/FindPython/Support.cmake
+++ b/Modules/FindPython/Support.cmake
@@ -1653,18 +1653,15 @@ if (CMAKE_CROSSCOMPILING)
     cmake_policy (GET CMP0190 _${_PYTHON_PREFIX}_CROSSCOMPILING_POLICY)
     if (_${_PYTHON_PREFIX}_CROSSCOMPILING_POLICY STREQUAL "NEW")
       if (DEFINED ${_PYTHON_PREFIX}_CROSSCOMPILING_EMULATOR OR CMAKE_CROSSCOMPILING_EMULATOR)
-      set (_${_PYTHON_PREFIX}_CROSSCOMPILING TRUE)
+        set (_${_PYTHON_PREFIX}_CROSSCOMPILING TRUE)
         if (DEFINED ${_PYTHON_PREFIX}_CROSSCOMPILING_EMULATOR)
           set (_${_PYTHON_PREFIX}_CROSSCOMPILING_EMULATOR "${${_PYTHON_PREFIX}_CROSSCOMPILING_EMULATOR}")
-    else()
+        else()
           set (_${_PYTHON_PREFIX}_CROSSCOMPILING_EMULATOR "${CMAKE_CROSSCOMPILING_EMULATOR}")
         endif()
       else()
         _python_display_failure ("${_PYTHON_PREFIX}: When cross-compiling, Interpreter and/or Compiler components cannot be searched when ${_PYTHON_PREFIX}_CROSSCOMPILING_EMULATOR or CMAKE_CROSSCOMPILING_EMULATOR variable is not specified (see policy CMP0190)." FATAL)
-    endif()
-    else()
-      # CMP0190 == OLD : no condition regarding crosscompiling environment
-      set (_${_PYTHON_PREFIX}_CROSSCOMPILING TRUE)
+      endif()
     endif()
   endif()
 endif()
@@ -1731,6 +1728,11 @@ if (_${_PYTHON_PREFIX}_REQUIRED_VERSION_MAJOR VERSION_LESS "3")
   # ABI not supported
   unset (_${_PYTHON_PREFIX}_FIND_ABI)
   set (_${_PYTHON_PREFIX}_ABIFLAGS "<none>")
+elseif(NOT DEFINED ${_PYTHON_PREFIX}_FIND_ABI
+    AND CMAKE_CROSSCOMPILING AND NOT _${_PYTHON_PREFIX}_CROSSCOMPILING_POLICY STREQUAL "NEW")
+  # cannot manage ABI reliably
+  unset (_${_PYTHON_PREFIX}_FIND_ABI)
+  set (_${_PYTHON_PREFIX}_ABIFLAGS "<none>")
 else()
   unset (_${_PYTHON_PREFIX}_FIND_ABI)
   if (DEFINED ${_PYTHON_PREFIX}_FIND_ABI)