diff --git a/src/err/err_state.rs b/src/err/err_state.rs
index 4ddd560b1ee..534992d1af2 100644
--- a/src/err/err_state.rs
+++ b/src/err/err_state.rs
@@ -364,6 +364,7 @@ mod tests {
     };
 
     #[test]
+    #[cfg(not(target_arch = "wasm32"))] // We are building wasm Python with pthreads disabled
     #[should_panic(expected = "Re-entrant normalization of PyErrState detected")]
     fn test_reentrant_normalization() {
         static ERR: GILOnceCell<PyErr> = GILOnceCell::new();