diff --git a/sdv/data_processing/data_processor.py b/sdv/data_processing/data_processor.py
index 0f92a1943..d490a504d 100644
--- a/sdv/data_processing/data_processor.py
+++ b/sdv/data_processing/data_processor.py
@@ -577,8 +577,8 @@ def _create_config(self, data, columns_created_by_constraints):
                         column_dtype = str(column_dtype).lower()
                         for key in INTEGER_BOUNDS:
                             if key in column_dtype:
-                                min_value, max_value = INTEGER_BOUNDS[key]
-                                function_kwargs = {'min': min_value, 'max': max_value}
+                                _, max_value = INTEGER_BOUNDS[key]
+                                function_kwargs = {'min': 0, 'max': max_value}
 
                     else:
                         function_kwargs = {'text': 'sdv-id-??????'}
diff --git a/tests/integration/single_table/test_copulas.py b/tests/integration/single_table/test_copulas.py
index 0e9c825a0..af6ac7234 100644
--- a/tests/integration/single_table/test_copulas.py
+++ b/tests/integration/single_table/test_copulas.py
@@ -348,16 +348,16 @@ def test_numerical_columns_gets_pii():
     # Assert
     expected_sampled = pd.DataFrame({
         'id': [
-            2099712954613693783,
-            -152666675184636528,
-            4268567557886801441,
-            8596895119661928307,
-            6592419880288711333,
-            7082988828807721487,
-            -1204202270621625701,
-            3831203727630084512,
-            -4724549333540186445,
-            496832674032232864,
+            1089619006166876142,
+            8373046707753416652,
+            9070705361670139280,
+            7227045982112645011,
+            3461931576753619633,
+            1005734164466301683,
+            3312031189447929384,
+            82456842876428117,
+            1819741328868365520,
+            8019169766233150107,
         ],
         'city': [
             'Danielfort',
diff --git a/tests/unit/data_processing/test_data_processor.py b/tests/unit/data_processing/test_data_processor.py
index c53726faa..f9bd39c75 100644
--- a/tests/unit/data_processing/test_data_processor.py
+++ b/tests/unit/data_processing/test_data_processor.py
@@ -1245,19 +1245,19 @@ def test__create_config(self):
         id_numeric_int_8_transformer = config['transformers']['id_numeric_int8']
         assert isinstance(id_numeric_int_8_transformer, AnonymizedFaker)
         assert id_numeric_int_8_transformer.function_name == 'random_int'
-        assert id_numeric_int_8_transformer.function_kwargs == {'min': -128, 'max': 127}
+        assert id_numeric_int_8_transformer.function_kwargs == {'min': 0, 'max': 127}
         assert id_numeric_int_8_transformer.cardinality_rule == 'unique'
 
         id_numeric_int_16_transformer = config['transformers']['id_numeric_int16']
         assert isinstance(id_numeric_int_16_transformer, AnonymizedFaker)
         assert id_numeric_int_16_transformer.function_name == 'random_int'
-        assert id_numeric_int_16_transformer.function_kwargs == {'min': -32768, 'max': 32767}
+        assert id_numeric_int_16_transformer.function_kwargs == {'min': 0, 'max': 32767}
 
         id_numeric_int_32_transformer = config['transformers']['id_numeric_int32']
         assert isinstance(id_numeric_int_32_transformer, AnonymizedFaker)
         assert id_numeric_int_32_transformer.function_name == 'random_int'
         assert id_numeric_int_32_transformer.function_kwargs == {
-            'min': -2147483648,
+            'min': 0,
             'max': 2147483647,
         }