diff --git a/constraints.txt b/constraints.txt
index 6681de226d93..8c561f52f0f6 100644
--- a/constraints.txt
+++ b/constraints.txt
@@ -7,6 +7,10 @@ scipy<1.11; python_version<'3.12'
 # See https://github.com/Qiskit/qiskit/issues/12655 for current details.
 scipy==1.13.1; python_version=='3.12'
 
+# Rustworkx 0.15.0 contains a bug that breaks graphviz-related tests.
+# See https://github.com/Qiskit/rustworkx/pull/1229 for the fix.
+rustworkx==0.14.2
+
 # z3-solver from 4.12.3 onwards upped the minimum macOS API version for its
 # wheels to 11.7. The Azure VM images contain pre-built CPythons, of which at
 # least CPython 3.8 was compiled for an older macOS, so does not match a
diff --git a/test/utils/base.py b/test/utils/base.py
index bebf03008858..ce9509709bad 100644
--- a/test/utils/base.py
+++ b/test/utils/base.py
@@ -204,6 +204,20 @@ def setUpClass(cls):
         warnings.filterwarnings("error", category=DeprecationWarning)
         warnings.filterwarnings("error", category=QiskitWarning)
 
+        # Numpy 2 made a few new modules private, and have warnings that trigger if you try to
+        # access attributes that _would_ have existed.  Unfortunately, Python's `warnings` module
+        # adds a field called `__warningregistry__` to any module that triggers a warning, and
+        # `unittest.TestCase.assertWarns` then queries said fields on all existing modules.  On
+        # macOS ARM, we see some (we think harmless) warnings come out of `numpy.linalg._linalg` (a
+        # now-private module) during transpilation, which means that subsequent `assertWarns` calls
+        # can spuriously trick Numpy into sending out a nonsense `DeprecationWarning`.
+        # Tracking issue: https://github.com/Qiskit/qiskit/issues/12679
+        warnings.filterwarnings(
+            "ignore",
+            category=DeprecationWarning,
+            message=r".*numpy\.(\w+\.)*__warningregistry__",
+        )
+
         # We only use pandas transitively through seaborn, so it's their responsibility to mark if
         # their use of pandas would be a problem.
         warnings.filterwarnings(