diff --git a/newsfragments/748.misc b/newsfragments/748.misc
new file mode 100644
index 000000000..97fef70e1
--- /dev/null
+++ b/newsfragments/748.misc
@@ -0,0 +1 @@
+Suppress a flumpy warning coming from pybind11. See https://github.com/pybind/pybind11/issues/5224.
diff --git a/src/dxtbx/CMakeLists.txt b/src/dxtbx/CMakeLists.txt
index fccf3f698..495615812 100644
--- a/src/dxtbx/CMakeLists.txt
+++ b/src/dxtbx/CMakeLists.txt
@@ -75,6 +75,13 @@ if(HAS_VISIBILITY)
     target_compile_options(dxtbx_flumpy PRIVATE -fvisibility=hidden)
 endif()
 
+# pybind11 causes a bounds checking warning on recent compilers
+check_cxx_compiler_flag("-Wno-array-bounds" HAS_BOUNDS_WARNING)
+check_cxx_compiler_flag("-Wno-stringop-overread" HAS_OVERREAD_WARNING)
+if(HAS_BOUNDS_WARNING AND HAS_OVERREAD_WARNING)
+    target_compile_options(dxtbx_flumpy PRIVATE -Wno-array-bounds -Wno-stringop-overread)
+endif()
+
 install(
     TARGETS
         dxtbx_ext