diff --git a/constraints.txt b/constraints.txt
index 5d9636415de9..07b9862e426c 100644
--- a/constraints.txt
+++ b/constraints.txt
@@ -2,6 +2,11 @@
 # 4.0+. The pin can be removed after nbformat is updated.
 jsonschema==3.2.0
 
+# Numpy 1.25 deprecated some behaviours that we used, and caused the isometry
+# 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.