diff --git a/Doc/library/curses.rst b/Doc/library/curses.rst
@@ -129,6 +129,8 @@ Initialization and termination
    and return the previously current screen.
    Returns ``None`` if the previous screen was the one created by
    :func:`initscr`.
+   Raises :exc:`error` if *screen* has no terminal,
+   as is the case for a screen returned by :func:`new_prescr`.
 
    .. versionadded:: next
 

diff --git a/Lib/test/test_curses.py b/Lib/test/test_curses.py
@@ -3072,6 +3072,17 @@ def test_new_prescr(self):
         del screen
         gc_collect()
 
+    @requires_curses_func('new_prescr')
+    def test_set_term_prescr_screen(self):
+        # A new_prescr() screen has no terminal, so it cannot become the
+        # current one.  It used to be accepted, and the next refresh then
+        # crashed inside curses.
+        s = self.make_pty()
+        screen = curses.newterm('xterm', s, s)
+        self.assertRaises(curses.error, curses.set_term, curses.new_prescr())
+        # The current screen is unchanged, so refreshing it still works.
+        screen.stdscr.refresh()
+
     def test_initscr_after_newterm_keeps_screen_alive(self):
         # initscr() called while a newterm() screen is current returns that
         # screen's own standard window, so the window keeps the screen alive.

diff --git a/Modules/_cursesmodule.c b/Modules/_cursesmodule.c
@@ -6850,11 +6850,17 @@ _curses_set_term(PyObject *module, PyObject *screen)
     if (so == NULL) {
         return NULL;
     }
+    cursesmodule_state *state = get_cursesmodule_state(module);
+    if (so->stdscr_win == NULL) {
+        /* A screen from new_prescr() has no terminal, so it cannot become the
+           current one: a later refresh would dereference NULL in curses. */
+        PyErr_SetString(state->error, "the screen has no terminal");
+        return NULL;
+    }
     set_term(so->screen);
     if (!update_lines_cols(module)) {
         return NULL;
     }
-    cursesmodule_state *state = get_cursesmodule_state(module);
     PyObject *prev = state->topscreen;          /* steal the owned reference */
     state->topscreen = Py_NewRef(screen);
     return prev != NULL ? prev : Py_NewRef(Py_None);