diff --git a/CHANGELOG.md b/CHANGELOG.md
index 66a4e280f5..ba22f10ba6 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -19,6 +19,7 @@ You may also find the [Upgrade Guide](https://rust-random.github.io/book/update.
 - Remove fns `SeedableRng::from_os_rng`, `try_from_os_rng` (#1674)
 - Remove `Clone` support for `StdRng`, `ReseedingRng` (#1677)
 - Use `postcard` instead of `bincode` to test the serde feature (#1693)
+- Avoid excessive allocation in `IteratorRandom::sample` when `amount` is much larger than iterator size
 
 ### Additions
 - Add fns `IndexedRandom::choose_iter`, `choose_weighted_iter` (#1632)
diff --git a/src/seq/iterator.rs b/src/seq/iterator.rs
index 187ca3c055..65ccb987b6 100644
--- a/src/seq/iterator.rs
+++ b/src/seq/iterator.rs
@@ -245,8 +245,7 @@ pub trait IteratorRandom: Iterator + Sized {
     where
         R: Rng + ?Sized,
     {
-        let mut reservoir = Vec::with_capacity(amount);
-        reservoir.extend(self.by_ref().take(amount));
+        let mut reservoir = Vec::from_iter(self.by_ref().take(amount));
 
         // Continue unless the iterator was exhausted
         //
@@ -259,10 +258,6 @@ pub trait IteratorRandom: Iterator + Sized {
                     *slot = elem;
                 }
             }
-        } else {
-            // Don't hang onto extra memory. There is a corner case where
-            // `amount` was much less than `self.len()`.
-            reservoir.shrink_to_fit();
         }
         reservoir
     }