diff --git a/zebra-state/src/service/check/tests/nullifier.rs b/zebra-state/src/service/check/tests/nullifier.rs
index bdfeb949..0c29b46c 100644
--- a/zebra-state/src/service/check/tests/nullifier.rs
+++ b/zebra-state/src/service/check/tests/nullifier.rs
@@ -34,7 +34,7 @@ use crate::{
 // because we're only interested in spend validation,
 // (and passing various other state checks).
 
-const DEFAULT_NULLIFIER_PROPTEST_CASES: u32 = 16;
+const DEFAULT_NULLIFIER_PROPTEST_CASES: u32 = 2;
 
 proptest! {
     #![proptest_config(