diff --git a/matrix.yaml b/matrix.yaml
index 3ba4910..1f27a2d 100644
--- a/matrix.yaml
+++ b/matrix.yaml
@@ -28,6 +28,10 @@ CI_IMAGE_CONFIG:
     dockerfile: citestwheel.Dockerfile
     docker_target: ""
 exclude:
+  # Python 3.13 isn't ready for conda yet (needs support in the conda package)
+  - PYTHON_VER: "3.13"
+    IMAGE_REPO: "ci-conda"
+
   # Exclusions from CUDA's OS support matrix
   - LINUX_VER: "ubuntu22.04"
     CUDA_VER: "11.4.3"