diff --git a/src/openforms/forms/models/form.py b/src/openforms/forms/models/form.py
index fdae785b10..7144b84911 100644
--- a/src/openforms/forms/models/form.py
+++ b/src/openforms/forms/models/form.py
@@ -411,10 +411,16 @@ def copy(self):
 
             form_step.save()
 
-        for logic in self.formlogic_set.all():
+        for logic in self.formlogic_set.all().select_related("trigger_from_step"):
             logic.pk = None
             logic.uuid = _uuid.uuid4()
             logic.form = copy
+
+            if logic.trigger_from_step:
+                logic.trigger_from_step = logic.form.formstep_set.get(
+                    order=logic.trigger_from_step.order
+                )
+
             logic.save()
 
         FormVariable.objects.create_for_form(copy)
diff --git a/src/openforms/forms/tests/admin/test_form.py b/src/openforms/forms/tests/admin/test_form.py
index a62af4d743..4fd8aa0378 100644
--- a/src/openforms/forms/tests/admin/test_form.py
+++ b/src/openforms/forms/tests/admin/test_form.py
@@ -558,6 +558,25 @@ def test_form_admin_copy(self):
             copied_form.confirmation_email_template.id, confirmation_email_template.id
         )
 
+    @tag("gh-3378")
+    def test_copy_form_with_trigger_from_step_in_logic(self):
+        user = SuperUserFactory.create()
+        self.client.force_login(user)
+
+        form_step = FormStepFactory.create()
+        FormLogicFactory.create(form=form_step.form, trigger_from_step=form_step)
+
+        admin_url = reverse("admin:forms_form_change", args=(form_step.form.pk,))
+
+        # React UI renders this input, so simulate it in a raw POST call
+        self.client.post(admin_url, data={"_copy": "Copy"})
+
+        copied_form = Form.objects.exclude(pk=form_step.form.pk).get()
+        copied_step = FormStep.objects.exclude(pk=form_step.pk).get()
+        copied_logic = copied_form.formlogic_set.get()
+
+        self.assertEqual(copied_logic.trigger_from_step, copied_step)
+
 
 @disable_2fa
 class FormAdminActionsTests(FormListAjaxMixin, WebTest):