diff --git a/roaring/src/bitmap/inherent.rs b/roaring/src/bitmap/inherent.rs
index b2919b4c..499b5d23 100644
--- a/roaring/src/bitmap/inherent.rs
+++ b/roaring/src/bitmap/inherent.rs
@@ -50,15 +50,20 @@ impl RoaringBitmap {
     /// ```
     #[inline]
     pub fn insert(&mut self, value: u32) -> bool {
-        let (key, index) = util::split(value);
-        let container = match self.containers.binary_search_by_key(&key, |c| c.key) {
-            Ok(loc) => &mut self.containers[loc],
-            Err(loc) => {
-                self.containers.insert(loc, Container::new(key));
-                &mut self.containers[loc]
-            }
-        };
-        container.insert(index)
+        if self.max().map_or(true, |max| value > max) {
+            self.push_unchecked(value);
+            true
+        } else {
+            let (key, index) = util::split(value);
+            let container = match self.containers.binary_search_by_key(&key, |c| c.key) {
+                Ok(loc) => &mut self.containers[loc],
+                Err(loc) => {
+                    self.containers.insert(loc, Container::new(key));
+                    &mut self.containers[loc]
+                }
+            };
+            container.insert(index)
+        }
     }
 
     /// Search for the specific container by the given key.