diff --git a/django/db/backends/oracle/creation.py b/django/db/backends/oracle/creation.py
index 75cc6852d9..fa8bcf83f2 100644
--- a/django/db/backends/oracle/creation.py
+++ b/django/db/backends/oracle/creation.py
@@ -15,8 +15,8 @@ DATA_TYPES = {
     'NullBooleanField':             'number(1) CHECK ((%(column)s IN (0,1)) OR (%(column)s IS NULL))',
     'OneToOneField':                'number(11)',
     'PhoneNumberField':             'varchar2(20)',
-    'PositiveIntegerField':         'number(11) CHECK (%(column)s >= 0)',
-    'PositiveSmallIntegerField':    'number(11) CHECK (%(column)s >= 0)',
+    'PositiveIntegerField':         'number(11) CHECK (%(column)s >= 1)',
+    'PositiveSmallIntegerField':    'number(11) CHECK (%(column)s >= 1)',
     'SlugField':                    'varchar2(50)',
     'SmallIntegerField':            'number(11)',
     'TextField':                    'clob',