diff --git a/src/lem/tests/mod.rs b/src/lem/tests/mod.rs
index 03cad7d158..f86ba1f7e8 100644
--- a/src/lem/tests/mod.rs
+++ b/src/lem/tests/mod.rs
@@ -1,2 +1,3 @@
 mod eval_tests;
 mod misc;
+mod nivc_stutter;
diff --git a/src/lem/tests/nivc_stutter.rs b/src/lem/tests/nivc_stutter.rs
new file mode 100644
index 0000000000..3f8c515f34
--- /dev/null
+++ b/src/lem/tests/nivc_stutter.rs
@@ -0,0 +1,83 @@
+use pasta_curves::pallas::Scalar as Fr;
+
+use crate::{
+    coprocessor::test::DumbCoprocessor,
+    eval::lang::Lang,
+    lem::{
+        eval::{evaluate, make_cprocs_funcs_from_lang, make_eval_step_from_config, EvalConfig},
+        store::Store,
+        Tag,
+    },
+    state::user_sym,
+    tag::ExprTag,
+};
+
+#[test]
+fn test_nivc_stutter() {
+    let mut lang = Lang::<Fr, DumbCoprocessor<Fr>>::new();
+    let dumb = DumbCoprocessor::new();
+    let name = user_sym("cproc-dumb");
+
+    let store = Store::<Fr>::default();
+    lang.add_coprocessor(name, dumb);
+
+    let lurk_step = make_eval_step_from_config(&EvalConfig::new_nivc(&lang));
+    let cprocs = make_cprocs_funcs_from_lang(&lang);
+
+    assert_eq!(cprocs.len(), 1);
+    let cproc = &cprocs[0];
+
+    // 9^2 + 8 = 89
+    let expr = "(cproc-dumb 9 8)";
+    let expr = store.read_with_default_state(expr).unwrap();
+
+    let (frames, _) = evaluate(Some((&lurk_step, &lang)), expr, &store, 10).unwrap();
+
+    assert_eq!(frames.len(), 5);
+
+    // `cproc` can't reduce the first input
+    let first_input = &frames[0].input;
+    let output = &cproc
+        .call_simple(first_input, &store, &lang, 0)
+        .unwrap()
+        .output;
+    assert_eq!(first_input, output);
+
+    // `lurk_step` can't reduce the cproc input
+    let mut cproc_input = frames[3].input.clone();
+    assert!(matches!(cproc_input[0].tag(), Tag::Expr(ExprTag::Cproc)));
+    let output = &lurk_step
+        .call_simple(&cproc_input, &store, &lang, 0)
+        .unwrap()
+        .output;
+    assert_eq!(&cproc_input, output);
+
+    // `cproc` can reduce the cproc input
+    let output = &cproc
+        .call_simple(&cproc_input, &store, &lang, 0)
+        .unwrap()
+        .output;
+    assert_ne!(&cproc_input, output);
+
+    // swapping the cproc name
+    let cont = cproc_input.pop().unwrap();
+    let env = cproc_input.pop().unwrap();
+    let expr = cproc_input.pop().unwrap();
+
+    let idx = expr.get_index2().unwrap();
+    let (_, args) = store.expect_2_ptrs(idx);
+    let new_name = user_sym("cproc-dumb-not");
+    let expr = store.intern_2_ptrs(
+        Tag::Expr(ExprTag::Cproc),
+        store.intern_symbol(&new_name),
+        *args,
+    );
+
+    // `cproc` can't reduce the altered cproc input (with the wrong name)
+    let cproc_input = vec![expr, env, cont];
+    let output = &cproc
+        .call_simple(&cproc_input, &store, &lang, 0)
+        .unwrap()
+        .output;
+    assert_eq!(&cproc_input, output);
+}