diff --git a/crates/ruff_linter/resources/test/fixtures/flake8_async/ASYNC116.py b/crates/ruff_linter/resources/test/fixtures/flake8_async/ASYNC116.py
index 4141f64e8d..ecd5268664 100644
--- a/crates/ruff_linter/resources/test/fixtures/flake8_async/ASYNC116.py
+++ b/crates/ruff_linter/resources/test/fixtures/flake8_async/ASYNC116.py
@@ -128,3 +128,11 @@ async def test_trio_async116_helpers():
 
     await trio.sleep(seconds=86401)  # ASYNC116
     await trio.sleep(delay=86401)  # OK
+
+
+async def _():
+    import trio
+    from trio import sleep
+
+    await sleep(18446744073709551616)
+    await trio.sleep(99999999999999999999)
diff --git a/crates/ruff_linter/src/rules/flake8_async/rules/long_sleep_not_forever.rs b/crates/ruff_linter/src/rules/flake8_async/rules/long_sleep_not_forever.rs
index 981dccfe3f..8680dce16b 100644
--- a/crates/ruff_linter/src/rules/flake8_async/rules/long_sleep_not_forever.rs
+++ b/crates/ruff_linter/src/rules/flake8_async/rules/long_sleep_not_forever.rs
@@ -100,14 +100,10 @@ pub(crate) fn long_sleep_not_forever(checker: &Checker, call: &ExprCall) {
     // TODO(ekohilas): Replace with Duration::from_days(1).as_secs(); when available.
     let one_day_in_secs = 60 * 60 * 24;
     match value {
-        Number::Int(int_value) => {
-            let Some(int_value) = int_value.as_u64() else {
-                return;
-            };
-            if int_value <= one_day_in_secs {
-                return;
-            }
-        }
+        Number::Int(int_value) => match int_value.as_u64() {
+            Some(int_value) if int_value <= one_day_in_secs => return,
+            _ => {} // The number is too large, and more than 24 hours
+        },
         Number::Float(float_value) =>
         {
             #[expect(clippy::cast_precision_loss)]
diff --git a/crates/ruff_linter/src/rules/flake8_async/snapshots/ruff_linter__rules__flake8_async__tests__ASYNC116_ASYNC116.py.snap b/crates/ruff_linter/src/rules/flake8_async/snapshots/ruff_linter__rules__flake8_async__tests__ASYNC116_ASYNC116.py.snap
index 3e2e1aead7..1e04f8065a 100644
--- a/crates/ruff_linter/src/rules/flake8_async/snapshots/ruff_linter__rules__flake8_async__tests__ASYNC116_ASYNC116.py.snap
+++ b/crates/ruff_linter/src/rules/flake8_async/snapshots/ruff_linter__rules__flake8_async__tests__ASYNC116_ASYNC116.py.snap
@@ -330,3 +330,38 @@ ASYNC116.py:129:11: ASYNC116 [*] `trio.sleep()` with >24 hour interval should us
 129     |-    await trio.sleep(seconds=86401)  # ASYNC116
     129 |+    await trio.sleep_forever()  # ASYNC116
 130 130 |     await trio.sleep(delay=86401)  # OK
+131 131 | 
+132 132 | 
+
+ASYNC116.py:137:11: ASYNC116 [*] `trio.sleep()` with >24 hour interval should usually be `trio.sleep_forever()`
+    |
+135 |     from trio import sleep
+136 |
+137 |     await sleep(18446744073709551616)
+    |           ^^^^^^^^^^^^^^^^^^^^^^^^^^^ ASYNC116
+138 |     await trio.sleep(99999999999999999999)
+    |
+    = help: Replace with `trio.sleep_forever()`
+
+ℹ Unsafe fix
+134 134 |     import trio
+135 135 |     from trio import sleep
+136 136 | 
+137     |-    await sleep(18446744073709551616)
+    137 |+    await trio.sleep_forever()
+138 138 |     await trio.sleep(99999999999999999999)
+
+ASYNC116.py:138:11: ASYNC116 [*] `trio.sleep()` with >24 hour interval should usually be `trio.sleep_forever()`
+    |
+137 |     await sleep(18446744073709551616)
+138 |     await trio.sleep(99999999999999999999)
+    |           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ASYNC116
+    |
+    = help: Replace with `trio.sleep_forever()`
+
+ℹ Unsafe fix
+135 135 |     from trio import sleep
+136 136 | 
+137 137 |     await sleep(18446744073709551616)
+138     |-    await trio.sleep(99999999999999999999)
+    138 |+    await trio.sleep_forever()