diff --git a/src/combinations.rs b/src/combinations.rs
index 1c834a74e..d8b5351ec 100644
--- a/src/combinations.rs
+++ b/src/combinations.rs
@@ -37,12 +37,9 @@ pub fn combinations<I>(iter: I, k: usize) -> Combinations<I>
 where
     I: Iterator,
 {
-    let mut pool = LazyBuffer::new(iter);
-    pool.prefill(k);
-
     Combinations {
         indices: (0..k).collect(),
-        pool,
+        pool: LazyBuffer::new(iter),
         first: true,
     }
 }
@@ -107,6 +104,7 @@ where
     type Item = Vec<I::Item>;
     fn next(&mut self) -> Option<Self::Item> {
         if self.first {
+            self.pool.prefill(self.k());
             if self.k() > self.n() {
                 return None;
             }
diff --git a/tests/test_std.rs b/tests/test_std.rs
index 732790ef4..732be7b7d 100644
--- a/tests/test_std.rs
+++ b/tests/test_std.rs
@@ -1044,7 +1044,7 @@ fn combinations_inexact_size_hints() {
         let len = binomial(real_n, k);
         assert_eq!(len, it.clone().count());
 
-        let mut nb_loaded = numbers.by_ref().take(k).count(); // because of `LazyBuffer::prefill(k)`
+        let mut nb_loaded = 0;
         let sh = numbers.size_hint();
         assert_eq!(binomial(sh.0 + nb_loaded, k), it.size_hint().0);
         assert_eq!(sh.1.map(|n| binomial(n + nb_loaded, k)), it.size_hint().1);
@@ -1053,8 +1053,10 @@ fn combinations_inexact_size_hints() {
             let elem = it.next();
             assert!(elem.is_some());
             assert_eq!(len - next_count, it.clone().count());
-            // It does not load anything more the very first time (it's prefilled).
-            if next_count > 1 {
+            if next_count == 1 {
+                // The very first time, the lazy buffer is prefilled.
+                nb_loaded = numbers.by_ref().take(k).count();
+            } else {
                 // Then it loads one item each time until exhausted.
                 let nb = numbers.next();
                 if nb.is_some() {