diff --git a/cyclonedx/output/__init__.py b/cyclonedx/output/__init__.py
index 95f66e0e..042dd80f 100644
--- a/cyclonedx/output/__init__.py
+++ b/cyclonedx/output/__init__.py
@@ -25,8 +25,8 @@
 from abc import ABC, abstractmethod
 from collections.abc import Iterable, Mapping
 from itertools import chain
-from random import random
 from typing import TYPE_CHECKING, Any, Literal, Optional, Union, overload
+from uuid import uuid4
 
 from ..schema import OutputFormat, SchemaVersion
 
@@ -166,7 +166,7 @@ def reset(self) -> None:
             bomref.value = original_value
 
     def _make_unique(self) -> str:
-        return f'{self._prefix}{str(random())[1:]}{str(random())[1:]}'  # nosec B311
+        return f'{self._prefix}.{uuid4().int}.{uuid4().int}'
 
     @classmethod
     def from_bom(cls, bom: 'Bom', prefix: str = 'BomRef') -> 'BomRefDiscriminator':
diff --git a/tests/test_output.py b/tests/test_output.py
index e29d12a3..7ecb3f28 100644
--- a/tests/test_output.py
+++ b/tests/test_output.py
@@ -76,3 +76,8 @@ def test_discriminate_and_reset_manually(self) -> None:
         discr.reset()
         self.assertEqual('djdlkfjdslkf', bomref1.value)
         self.assertEqual('djdlkfjdslkf', bomref2.value)
+
+    def test_make_unique_generates_integers(self) -> None:
+        discr = BomRefDiscriminator([])
+        for _ in range(1000):
+            self.assertRegex(discr._make_unique(), r'^BomRef\.\d+\.\d+$')