diff -r a442bf076a32 Python/pylifecycle.c
--- a/Python/pylifecycle.c	Fri Apr 01 21:43:54 2016 +0200
+++ b/Python/pylifecycle.c	Fri Apr 01 23:02:57 2016 +0200
@@ -508,6 +508,86 @@ flush_std_files(void)
     return status;
 }
 
+/* Test if a standard stream is closed or not.
+
+   If the file has no closed attribute (or getting the attribute raises an
+   exception), consider that the file is already closed (and ignore the
+   exception). */
+static int
+stdio_is_closed(PyObject *file)
+{
+    PyObject *res;
+    int closed;
+
+    if (file == NULL || file == Py_None) {
+        return 1;
+    }
+
+    res = PyObject_GetAttrString(file, "closed");
+    if (res == NULL) {
+        PyErr_Clear();
+        return 1;
+    }
+
+    closed = PyObject_IsTrue(res);
+    Py_DECREF(res);
+
+    if (closed < 0) {
+        PyErr_Clear();
+        return 1;
+    }
+
+    return closed;
+}
+
+static void
+stdio_replace_with_printer(int fd, const char *name, const char *dunder_name)
+{
+    PyObject *file, *dunder_file;
+    int closed, dunder_closed;
+    PyObject *std_file;
+
+    file = PySys_GetObject(name);
+    dunder_file = PySys_GetObject(dunder_name);
+
+    closed = stdio_is_closed(file);
+    dunder_closed = stdio_is_closed(dunder_file);
+    if (closed && dunder_closed) {
+        return;
+    }
+
+    std_file = PyFile_NewStdPrinter(fd);
+    if (std_file == NULL) {
+        PyErr_Clear();
+        return;
+    }
+
+    Py_XINCREF(file);
+    Py_XINCREF(dunder_file);
+
+    if (!closed) {
+        PySys_SetObject(name, std_file);
+    }
+    if (!dunder_closed) {
+        PySys_SetObject(dunder_name, std_file);
+    }
+
+    if (!closed) {
+        PyObject *res = PyObject_CallMethod(file, "close", "");
+        PyErr_Clear();
+        Py_XDECREF(res);
+    }
+    if (!dunder_closed) {
+        PyObject *res = PyObject_CallMethod(dunder_file, "close", "");
+        PyErr_Clear();
+        Py_XDECREF(res);
+    }
+
+    Py_XDECREF(file);
+    Py_XDECREF(dunder_file);
+    Py_DECREF(std_file);
+}
+
 /* Undo the effect of Py_Initialize().
 
    Beware: if multiple interpreter and/or thread states exist, these
@@ -582,6 +662,13 @@ Py_FinalizeEx(void)
     while (PyGC_Collect() > 0)
         /* nothing */;
 #endif
+
+    /* Replace sys.stderr, sys.__stderr__, sys.stdout and sys.__stdout__ with
+       new standard printers if they are different than None and are not
+       closed. */
+    stdio_replace_with_printer(fileno(stderr), "stderr", "__stderr__");
+    stdio_replace_with_printer(fileno(stdout), "stdout", "__stdout__");
+
     /* Destroy all modules */
     PyImport_Cleanup();