diff --git a/Lib/test/test_codecs.py b/Lib/test/test_codecs.py
index 7de1ed5..911d58f 100644
--- a/Lib/test/test_codecs.py
+++ b/Lib/test/test_codecs.py
@@ -353,6 +353,16 @@
         self.check_state_handling_decode(self.encoding,
                                          "spamspam", self.spambe)
 
+    def test_issue8941(self):
+        # Issue #8941: insufficient result allocation when decoding into
+        # surrogate pairs on UCS-2 builds.
+        encoded_le = b'\xff\xfe\x00\x00' + b'\x00\x00\x01\x00' * 1024
+        self.assertEqual('\U00010000' * 1024,
+                         codecs.utf_32_decode(encoded_le)[0])
+        encoded_be = b'\x00\x00\xfe\xff' + b'\x00\x01\x00\x00' * 1024
+        self.assertEqual('\U00010000' * 1024,
+                         codecs.utf_32_decode(encoded_be)[0])
+
 class UTF32LETest(ReadTest):
     encoding = "utf-32-le"
 
@@ -386,6 +396,13 @@
         self.assertRaises(UnicodeDecodeError, codecs.utf_32_le_decode,
                           b"\xff", "strict", True)
 
+    def test_issue8941(self):
+        # Issue #8941: insufficient result allocation when decoding into
+        # surrogate pairs on UCS-2 builds.
+        encoded = b'\x00\x00\x01\x00' * 1024
+        self.assertEqual('\U00010000' * 1024,
+                         codecs.utf_32_le_decode(encoded)[0])
+
 class UTF32BETest(ReadTest):
     encoding = "utf-32-be"
 
@@ -419,6 +436,14 @@
         self.assertRaises(UnicodeDecodeError, codecs.utf_32_be_decode,
                           b"\xff", "strict", True)
 
+    def test_issue8941(self):
+        # Issue #8941: insufficient result allocation when decoding into
+        # surrogate pairs on UCS-2 builds.
+        encoded = b'\x00\x01\x00\x00' * 1024
+        self.assertEqual('\U00010000' * 1024,
+                         codecs.utf_32_be_decode(encoded)[0])
+
+
 class UTF16Test(ReadTest):
     encoding = "utf-16"
 
diff --git a/Misc/NEWS b/Misc/NEWS
index 48a7322..b7b4f65 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -12,6 +12,10 @@
 Core and Builtins
 -----------------
 
+- Issue #8941: decoding big endian UTF-32 data in UCS-2 builds could crash
+  the interpreter with characters outside the Basic Multilingual Plane
+  (higher than 0x10000).
+
 - Issue #8950: (See also issue #5080).  Py_ArgParse*() functions now
   raise TypeError instead of giving a DeprecationWarning when a float
   is parsed using the 'L' code (for long long).  (All other integer
diff --git a/Objects/unicodeobject.c b/Objects/unicodeobject.c
index aa0b4c6..de92787 100644
--- a/Objects/unicodeobject.c
+++ b/Objects/unicodeobject.c
@@ -2730,11 +2730,11 @@
     PyUnicodeObject *unicode;
     Py_UNICODE *p;
 #ifndef Py_UNICODE_WIDE
-    int i, pairs;
+    int pairs = 0;
 #else
     const int pairs = 0;
 #endif
-    const unsigned char *q, *e;
+    const unsigned char *q, *e, *qq;
     int bo = 0;       /* assume native ordering by default */
     const char *errmsg = "";
     /* Offsets from q for retrieving bytes in the right order. */
@@ -2745,23 +2745,7 @@
 #endif
     PyObject *errorHandler = NULL;
     PyObject *exc = NULL;
-    /* On narrow builds we split characters outside the BMP into two
-       codepoints => count how much extra space we need. */
-#ifndef Py_UNICODE_WIDE
-    for (i = pairs = 0; i < size/4; i++)
-        if (((Py_UCS4 *)s)[i] >= 0x10000)
-            pairs++;
-#endif
-
-    /* This might be one to much, because of a BOM */
-    unicode = _PyUnicode_New((size+3)/4+pairs);
-    if (!unicode)
-        return NULL;
-    if (size == 0)
-        return (PyObject *)unicode;
-
-    /* Unpack UTF-32 encoded data */
-    p = unicode->str;
+    
     q = (unsigned char *)s;
     e = q + size;
 
@@ -2813,6 +2797,24 @@
         iorder[3] = 0;
     }
 
+    /* On narrow builds we split characters outside the BMP into two
+       codepoints => count how much extra space we need. */
+#ifndef Py_UNICODE_WIDE
+    for (qq = q; qq < e; qq += 4)
+        if (qq[iorder[2]] != 0 || qq[iorder[3]] != 0)
+            pairs++;
+#endif
+
+    /* This might be one to much, because of a BOM */
+    unicode = _PyUnicode_New((size+3)/4+pairs);
+    if (!unicode)
+        return NULL;
+    if (size == 0)
+        return (PyObject *)unicode;
+
+    /* Unpack UTF-32 encoded data */
+    p = unicode->str;
+
     while (q < e) {
         Py_UCS4 ch;
         /* remaining bytes at the end? (size should be divisible by 4) */