diff --git a/Doc/library/compileall.rst b/Doc/library/compileall.rst
index 7b3963d..5151f3a 100644
--- a/Doc/library/compileall.rst
+++ b/Doc/library/compileall.rst
@@ -85,13 +85,16 @@
 
 .. cmdoption:: --invalidation-mode [timestamp|checked-hash|unchecked-hash]
 
-   Control how the generated pycs will be invalidated at runtime. The default
-   setting, ``timestamp``, means that ``.pyc`` files with the source timestamp
+   Control how the generated byte-code files are invalidated at runtime.
+   The ``timestamp`` value, means that ``.pyc`` files with the source timestamp
    and size embedded will be generated. The ``checked-hash`` and
    ``unchecked-hash`` values cause hash-based pycs to be generated. Hash-based
    pycs embed a hash of the source file contents rather than a timestamp. See
-   :ref:`pyc-invalidation` for more information on how Python validates bytecode
-   cache files at runtime.
+   :ref:`pyc-invalidation` for more information on how Python validates
+   bytecode cache files at runtime.
+   The default is ``timestamp`` if the :envvar:`SOURCE_DATE_EPOCH` environment
+   variable is not set, and ``checked-hash`` if the ``SOURCE_DATE_EPOCH``
+   environment variable is set.
 
 .. versionchanged:: 3.2
    Added the ``-i``, ``-b`` and ``-h`` options.
diff --git a/Doc/library/py_compile.rst b/Doc/library/py_compile.rst
index d720e01..8cb5a4d 100644
--- a/Doc/library/py_compile.rst
+++ b/Doc/library/py_compile.rst
@@ -54,10 +54,10 @@
    level of the current interpreter.
 
    *invalidation_mode* should be a member of the :class:`PycInvalidationMode`
-   enum and controls how the generated ``.pyc`` files are invalidated at
-   runtime. If the :envvar:`SOURCE_DATE_EPOCH` environment variable is set,
-   *invalidation_mode* will be forced to
-   :attr:`PycInvalidationMode.CHECKED_HASH`.
+   enum and controls how the generated bytecode cache is invalidated at
+   runtime.  The default is :attr:`PycInvalidationMode.CHECKED_HASH` if
+   the :envvar:`SOURCE_DATE_EPOCH` environment variable is set, otherwise
+   the default is :attr:`PycInvalidationMode.TIMESTAMP`.
 
    .. versionchanged:: 3.2
       Changed default value of *cfile* to be :PEP:`3147`-compliant.  Previous
@@ -77,6 +77,11 @@
       *invalidation_mode* will be forced to
       :attr:`PycInvalidationMode.CHECKED_HASH`.
 
+   .. versionchanged:: 3.7.2
+      The :envvar:`SOURCE_DATE_EPOCH` environment variable no longer
+      overrides the value of the *invalidation_mode* argument, and determines
+      its default value instead.
+
 
 .. class:: PycInvalidationMode