diff --git a/constraints.txt b/constraints.txt
index 67572fd19305..026d0e551b6a 100644
--- a/constraints.txt
+++ b/constraints.txt
@@ -10,3 +10,8 @@ qiskit-aer==0.12.0
 # tests to flake. See https://github.com/Qiskit/qiskit-terra/issues/10305,
 # remove pin when resolving that.
 numpy<1.25
+
+# Scipy 1.11 seems to have caused an instability in the Weyl coordinates
+# eigensystem code for one of the test cases.  See
+# https://github.com/Qiskit/qiskit-terra/issues/10345 for current details.
+scipy<1.11