diff --git a/django/db/models/base.py b/django/db/models/base.py
index 237a04cfd7..0d50dad0c9 100644
--- a/django/db/models/base.py
+++ b/django/db/models/base.py
@@ -572,6 +572,16 @@ class Model(metaclass=ModelBase):
         """Hook to allow choosing the attributes to pickle."""
         state = self.__dict__.copy()
         state['_state'] = copy.copy(state['_state'])
+        # memoryview cannot be pickled, so cast it to bytes and store
+        # separately.
+        _memoryview_attrs = []
+        for attr, value in state.items():
+            if isinstance(value, memoryview):
+                _memoryview_attrs.append((attr, bytes(value)))
+        if _memoryview_attrs:
+            state['_memoryview_attrs'] = _memoryview_attrs
+            for attr, value in _memoryview_attrs:
+                state.pop(attr)
         return state
 
     def __setstate__(self, state):
@@ -591,6 +601,9 @@ class Model(metaclass=ModelBase):
                 RuntimeWarning,
                 stacklevel=2,
             )
+        if '_memoryview_attrs' in state:
+            for attr, value in state.pop('_memoryview_attrs'):
+                state[attr] = memoryview(value)
         self.__dict__.update(state)
 
     def _get_pk_val(self, meta=None):
diff --git a/docs/releases/3.2.10.txt b/docs/releases/3.2.10.txt
index 8df403e3d4..18f0f9f09a 100644
--- a/docs/releases/3.2.10.txt
+++ b/docs/releases/3.2.10.txt
@@ -10,4 +10,6 @@ Django 3.2.10 fixes a security issue with severity "low" and several bugs in
 Bugfixes
 ========
 
-* ...
+* Fixed a regression in Django 3.2 that caused a crash of ``setUpTestData()``
+  with ``BinaryField`` on PostgreSQL, which is ``memoryview``-backed
+  (:ticket:`33333`).
diff --git a/tests/queryset_pickle/models.py b/tests/queryset_pickle/models.py
index 689a11f65e..9a033ffe95 100644
--- a/tests/queryset_pickle/models.py
+++ b/tests/queryset_pickle/models.py
@@ -46,6 +46,7 @@ class Happening(models.Model):
     number1 = models.IntegerField(blank=True, default=standalone_number)
     number2 = models.IntegerField(blank=True, default=Numbers.get_static_number)
     event = models.OneToOneField(Event, models.CASCADE, null=True)
+    data = models.BinaryField(null=True)
 
 
 class Container:
diff --git a/tests/queryset_pickle/tests.py b/tests/queryset_pickle/tests.py
index bf61960419..60d30cd8ce 100644
--- a/tests/queryset_pickle/tests.py
+++ b/tests/queryset_pickle/tests.py
@@ -16,6 +16,10 @@ class PickleabilityTestCase(TestCase):
     def assert_pickles(self, qs):
         self.assertEqual(list(pickle.loads(pickle.dumps(qs))), list(qs))
 
+    def test_binaryfield(self):
+        Happening.objects.create(data=b'binary data')
+        self.assert_pickles(Happening.objects.all())
+
     def test_related_field(self):
         g = Group.objects.create(name="Ponies Who Own Maybachs")
         self.assert_pickles(Event.objects.filter(group=g.id))
diff --git a/tests/test_utils/models.py b/tests/test_utils/models.py
index b0497f12b9..57518aef90 100644
--- a/tests/test_utils/models.py
+++ b/tests/test_utils/models.py
@@ -8,6 +8,7 @@ class Car(models.Model):
 class Person(models.Model):
     name = models.CharField(max_length=100)
     cars = models.ManyToManyField(Car, through='PossessedCar')
+    data = models.BinaryField(null=True)
 
 
 class PossessedCar(models.Model):
diff --git a/tests/test_utils/test_testcase.py b/tests/test_utils/test_testcase.py
index eefca4b32d..dbf609b8fe 100644
--- a/tests/test_utils/test_testcase.py
+++ b/tests/test_utils/test_testcase.py
@@ -74,10 +74,15 @@ class TestDataTests(TestCase):
             belongs_to=cls.jim_douglas,
         )
 
+        cls.person_binary = Person.objects.create(name='Person', data=b'binary data')
+        cls.person_binary_get = Person.objects.get(pk=cls.person_binary.pk)
+
     @assert_no_queries
     def test_class_attribute_equality(self):
         """Class level test data is equal to instance level test data."""
         self.assertEqual(self.jim_douglas, self.__class__.jim_douglas)
+        self.assertEqual(self.person_binary, self.__class__.person_binary)
+        self.assertEqual(self.person_binary_get, self.__class__.person_binary_get)
 
     @assert_no_queries
     def test_class_attribute_identity(self):
@@ -85,6 +90,21 @@ class TestDataTests(TestCase):
         Class level test data is not identical to instance level test data.
         """
         self.assertIsNot(self.jim_douglas, self.__class__.jim_douglas)
+        self.assertIsNot(self.person_binary, self.__class__.person_binary)
+        self.assertIsNot(self.person_binary_get, self.__class__.person_binary_get)
+
+    @assert_no_queries
+    def test_binaryfield_data_type(self):
+        self.assertEqual(bytes(self.person_binary.data), b'binary data')
+        self.assertEqual(bytes(self.person_binary_get.data), b'binary data')
+        self.assertEqual(
+            type(self.person_binary_get.data),
+            type(self.__class__.person_binary_get.data),
+        )
+        self.assertEqual(
+            type(self.person_binary.data),
+            type(self.__class__.person_binary.data),
+        )
 
     @assert_no_queries
     def test_identity_preservation(self):