diff --git a/.github/workflows/wheels.yaml b/.github/workflows/wheels.yaml
index e9deb1b8..79173023 100644
--- a/.github/workflows/wheels.yaml
+++ b/.github/workflows/wheels.yaml
@@ -53,7 +53,7 @@ jobs:
           CIBW_ENVIRONMENT_WINDOWS: >
             CMAKE_GENERATOR="${{ matrix.cmake_generator }}"
             CMAKE_GENERATOR_PLATFORM="${{ matrix.cmake_generator_platform }}"
-          CIBW_SKIP: cp38-* cp314* *-musllinux_*
+          CIBW_SKIP: cp38-* *-musllinux_*
           CIBW_ARCHS: ${{ matrix.arch }}
         run: |
             python -m cibuildwheel --output-dir wheelhouse python/
diff --git a/python/pyproject.toml b/python/pyproject.toml
index d755154c..d3de9f62 100644
--- a/python/pyproject.toml
+++ b/python/pyproject.toml
@@ -71,6 +71,7 @@ classifiers = [
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
     "Programming Language :: Python :: 3.13",
+    "Programming Language :: Python :: 3.14",
     "Topic :: Scientific/Engineering",
     "Topic :: Scientific/Engineering :: Physics",
     "Topic :: Software Development :: Libraries",
diff --git a/python/segyio/trace.py b/python/segyio/trace.py
index 9c378af7..4d92afc8 100644
--- a/python/segyio/trace.py
+++ b/python/segyio/trace.py
@@ -435,8 +435,14 @@ def flush(self):
         be useful in certain contexts to provide stronger guarantees.
         """
         garbage = []
+        # If there are no external references to the data (so only internal
+        # references remain), the reference count is
+        # - 2 (Python >= 3.14)
+        # - 3 (Python < 3.14)
+        garbage_threshold = 3 if sys.version_info < (3, 14) else 2
+
         for i, (x, signature) in self.refs.items():
-            if sys.getrefcount(x) == 3:
+            if sys.getrefcount(x) == garbage_threshold:
                 garbage.append(i)
 
             if fingerprint(x) == signature: continue