diff --git a/crates/esplora/src/async_ext.rs b/crates/esplora/src/async_ext.rs
index 98c47253f..279c8e962 100644
--- a/crates/esplora/src/async_ext.rs
+++ b/crates/esplora/src/async_ext.rs
@@ -261,7 +261,7 @@ impl EsploraAsyncExt for esplora_client::AsyncClient {
                     }
                 }
 
-                if last_index > last_active_index.map(|i| i + stop_gap as u32) {
+                if last_index > last_active_index.map(|i| i.saturating_add(stop_gap as u32)) {
                     break;
                 }
             }
diff --git a/crates/esplora/src/blocking_ext.rs b/crates/esplora/src/blocking_ext.rs
index 5220cf07f..17c364ca9 100644
--- a/crates/esplora/src/blocking_ext.rs
+++ b/crates/esplora/src/blocking_ext.rs
@@ -252,7 +252,7 @@ impl EsploraExt for esplora_client::BlockingClient {
                     }
                 }
 
-                if last_index > last_active_index.map(|i| i + stop_gap as u32) {
+                if last_index > last_active_index.map(|i| i.saturating_add(stop_gap as u32)) {
                     break;
                 }
             }