diff --git a/Doc/library/tarfile.rst b/Doc/library/tarfile.rst
index e418d5b..7a233c1 100644
--- a/Doc/library/tarfile.rst
+++ b/Doc/library/tarfile.rst
@@ -456,21 +456,28 @@
 .. method:: TarFile.addfile(tarinfo, fileobj=None)
 
    Add the :class:`TarInfo` object *tarinfo* to the archive. If *fileobj* is given,
+   it should be a :term:`binary file`, and
    ``tarinfo.size`` bytes are read from it and added to the archive.  You can
-   create :class:`TarInfo` objects using :meth:`gettarinfo`.
-
-   .. note::
-
-      On Windows platforms, *fileobj* should always be opened with mode ``'rb'`` to
-      avoid irritation about the file size.
+   create :class:`TarInfo` objects directly, or by using :meth:`gettarinfo`.
 
 
 .. method:: TarFile.gettarinfo(name=None, arcname=None, fileobj=None)
 
-   Create a :class:`TarInfo` object for either the file *name* or the :term:`file
-   object` *fileobj* (using :func:`os.fstat` on its file descriptor).  You can modify
-   some of the :class:`TarInfo`'s attributes before you add it using :meth:`addfile`.
-   If given, *arcname* specifies an alternative name for the file in the archive.
+   Create a :class:`TarInfo` object from the result of :func:`os.stat` or
+   equivalent on an existing file.  The file is either named by *name*, or
+   specified as a :term:`file object` *fileobj* with a file descriptor.  If
+   given, *arcname* specifies an alternative name for the file in the
+   archive, otherwise, the name is taken from *fileobj*’s
+   :attr:`~io.FileIO.name` attribute, or the *name* argument.  The name
+   should be a text string.
+
+   You can modify
+   some of the :class:`TarInfo`’s attributes before you add it using :meth:`addfile`.
+   If the file object is not an ordinary file object positioned at the
+   beginning of the file, attributes such as :attr:`~TarInfo.size` may need
+   modifying.  This is the case for objects such as :class:`~gzip.GzipFile`.
+   The :attr:`~TarInfo.name` may also be modified, in which case *arcname*
+   could be a dummy string.
 
 
 .. method:: TarFile.close()
diff --git a/Lib/tarfile.py b/Lib/tarfile.py
index 9d22c8e..2584560 100755
--- a/Lib/tarfile.py
+++ b/Lib/tarfile.py
@@ -1754,11 +1754,13 @@
         return [tarinfo.name for tarinfo in self.getmembers()]
 
     def gettarinfo(self, name=None, arcname=None, fileobj=None):
-        """Create a TarInfo object for either the file `name' or the file
-           object `fileobj' (using os.fstat on its file descriptor). You can
-           modify some of the TarInfo's attributes before you add it using
-           addfile(). If given, `arcname' specifies an alternative name for the
-           file in the archive.
+        """Create a TarInfo object from the result of os.stat or equivalent
+           on an existing file. The file is either named by `name', or
+           specified as a file object `fileobj' with a file descriptor. If
+           given, `arcname' specifies an alternative name for the file in the
+           archive, otherwise, the name is taken from the 'name' attribute of
+           'fileobj', or the 'name' argument. The name should be a text
+           string.
         """
         self._check("awx")
 
@@ -1779,7 +1781,7 @@
         # Now, fill the TarInfo object with
         # information specific for the file.
         tarinfo = self.tarinfo()
-        tarinfo.tarfile = self
+        tarinfo.tarfile = self  # Not needed
 
         # Use os.stat or os.lstat, depending on platform
         # and if symlinks shall be resolved.
@@ -1946,10 +1948,9 @@
 
     def addfile(self, tarinfo, fileobj=None):
         """Add the TarInfo object `tarinfo' to the archive. If `fileobj' is
-           given, tarinfo.size bytes are read from it and added to the archive.
-           You can create TarInfo objects using gettarinfo().
-           On Windows platforms, `fileobj' should always be opened with mode
-           'rb' to avoid irritation about the file size.
+           given, it should be a binary file, and tarinfo.size bytes are read
+           from it and added to the archive. You can create TarInfo objects
+           directly, or by using gettarinfo().
         """
         self._check("awx")