diff --git a/numpy-dev-xfails.txt b/numpy-dev-xfails.txt
index e69de29..d7838e3 100644
--- a/numpy-dev-xfails.txt
+++ b/numpy-dev-xfails.txt
@@ -0,0 +1,6 @@
+# finfo(float32).eps returns float32 but should return float
+array_api_tests/test_data_type_functions.py::test_finfo[float32]
+
+# 2023.12 support
+# uint64 repeats not supported
+array_api_tests/test_manipulation_functions.py::test_repeat
diff --git a/numpy-xfails.txt b/numpy-xfails.txt
index 4cdd2e2..b19568e 100644
--- a/numpy-xfails.txt
+++ b/numpy-xfails.txt
@@ -1,6 +1,11 @@
 # finfo(float32).eps returns float32 but should return float
 array_api_tests/test_data_type_functions.py::test_finfo[float32]
 
+# The test suite cannot properly get the signature for vecdot
+# https://github.com/numpy/numpy/pull/26237
+array_api_tests/test_signatures.py::test_func_signature[vecdot]
+array_api_tests/test_signatures.py::test_extension_func_signature[linalg.vecdot]
+
 # 2023.12 support
 array_api_tests/test_signatures.py::test_func_signature[from_dlpack]
 array_api_tests/test_signatures.py::test_array_method_signature[__dlpack__]