diff --git a/Python/import.c b/Python/import.c
--- a/Python/import.c
+++ b/Python/import.c
@@ -428,6 +428,7 @@ PyImport_Cleanup(void)
     PyObject *key, *value, *dict;
     PyInterpreterState *interp = PyThreadState_GET()->interp;
     PyObject *modules = interp->modules;
+    PyObject *sys_stdout;
 
     if (modules == NULL)
         return; /* Already done */
@@ -528,6 +529,28 @@ PyImport_Cleanup(void)
         }
     }
 
+    /* Flush stdout to make sure errors get logged before stderr goes */
+    sys_stdout = PySys_GetObject("stdout");
+    if (sys_stdout == NULL)
+        PyErr_Clear();
+    else if (sys_stdout != Py_None) {
+        int closed = -1;
+        value = PyObject_GetAttrString(sys_stdout, "closed");
+        if (value != NULL) {
+            closed = PyObject_IsTrue(value);
+            Py_DECREF(value);
+        }
+        if (closed == -1)
+            PyErr_WriteUnraisable(sys_stdout);
+        else if (closed == 0) {
+            value = PyObject_CallMethod(sys_stdout, "flush", "");
+            if (value == NULL)
+                PyErr_WriteUnraisable(sys_stdout);
+            else
+                Py_DECREF(value);
+        }
+    }
+
     /* Next, delete sys and __builtin__ (in that order) */
     value = PyDict_GetItemString(modules, "sys");
     if (value != NULL && PyModule_Check(value)) {