diff --git a/pyproject.toml b/pyproject.toml
index 5afec4efa7..7326b4d6fc 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -73,9 +73,16 @@ chem = [
     "scikit-fingerprints>=1.13.1",
 ]
 
+# NOTE: There is an error in the metadata of onnxruntime version 1.24.1 to 1.24.3.
+# The metadata claims that these versions are compatible with Python 3.10.
+# However, Python 3.10 is not actually supported by versions >=1.24.
+# As this causes issues with dependency resolving, we explicitly set the upper bound
+# for onnxruntime to <1.24 for Python 3.10.
+# See https://github.com/microsoft/onnxruntime/pull/27354 for more details.
 onnx = [
     "onnx>=1.16.0", # see AUDIT NOTE, required by skl2onnx
-    "onnxruntime>=1.15.1",
+    "onnxruntime>=1.15.1,<1.24; python_version < '3.11'",
+    "onnxruntime>=1.15.1; python_version >= '3.11'",   
     "skl2onnx>=1.19.1",
 ]
 
diff --git a/uv.lock b/uv.lock
index a14900db8e..59aadbaffc 100644
--- a/uv.lock
+++ b/uv.lock
@@ -427,7 +427,8 @@ requires-dist = [
     { name = "ngboost", marker = "extra == 'extras'", specifier = ">=0.3.12,<1" },
     { name = "numpy", specifier = ">=1.24.1,<3" },
     { name = "onnx", marker = "extra == 'onnx'", specifier = ">=1.16.0" },
-    { name = "onnxruntime", marker = "extra == 'onnx'", specifier = ">=1.15.1" },
+    { name = "onnxruntime", marker = "python_full_version >= '3.11' and extra == 'onnx'", specifier = ">=1.15.1" },
+    { name = "onnxruntime", marker = "python_full_version < '3.11' and extra == 'onnx'", specifier = ">=1.15.1,<1.24" },
     { name = "openpyxl", marker = "extra == 'examples'", specifier = ">=3.0.9" },
     { name = "pandas", specifier = ">=1.4.2,<3" },
     { name = "pandas-stubs", marker = "extra == 'mypy'", specifier = ">=2.2.2.240603" },