diff --git a/alloc/src/boxed/thin.rs b/alloc/src/boxed/thin.rs
index 203e5dff0..09308d4d0 100644
--- a/alloc/src/boxed/thin.rs
+++ b/alloc/src/boxed/thin.rs
@@ -3,7 +3,9 @@
 // by matthieu-m
 use crate::alloc::{self, Layout, LayoutError};
 use core::fmt::{self, Debug, Display, Formatter};
-use core::marker::{PhantomData, Unsize};
+use core::marker::PhantomData;
+#[cfg(not(no_global_oom_handling))]
+use core::marker::Unsize;
 use core::mem;
 use core::ops::{Deref, DerefMut};
 use core::ptr::Pointee;
diff --git a/alloc/src/raw_vec.rs b/alloc/src/raw_vec.rs
index 4be5f6cf9..b0f4529ab 100644
--- a/alloc/src/raw_vec.rs
+++ b/alloc/src/raw_vec.rs
@@ -421,6 +421,7 @@ impl<T, A: Allocator> RawVec<T, A> {
         Ok(())
     }
 
+    #[cfg(not(no_global_oom_handling))]
     fn shrink(&mut self, cap: usize) -> Result<(), TryReserveError> {
         assert!(cap <= self.capacity(), "Tried to shrink to a larger capacity");
 
diff --git a/alloc/src/string.rs b/alloc/src/string.rs
index 888388072..b1513e5e0 100644
--- a/alloc/src/string.rs
+++ b/alloc/src/string.rs
@@ -46,9 +46,9 @@
 use core::char::{decode_utf16, REPLACEMENT_CHARACTER};
 use core::fmt;
 use core::hash;
+use core::iter::FusedIterator;
 #[cfg(not(no_global_oom_handling))]
-use core::iter::FromIterator;
-use core::iter::{from_fn, FusedIterator};
+use core::iter::{from_fn, FromIterator};
 #[cfg(not(no_global_oom_handling))]
 use core::ops::Add;
 #[cfg(not(no_global_oom_handling))]
diff --git a/alloc/src/vec/into_iter.rs b/alloc/src/vec/into_iter.rs
index 9b84a1d9b..28979457b 100644
--- a/alloc/src/vec/into_iter.rs
+++ b/alloc/src/vec/into_iter.rs
@@ -9,6 +9,7 @@ use core::iter::{
 };
 use core::marker::PhantomData;
 use core::mem::{self, ManuallyDrop};
+#[cfg(not(no_global_oom_handling))]
 use core::ops::Deref;
 use core::ptr::{self, NonNull};
 use core::slice::{self};
@@ -123,6 +124,7 @@ impl<T, A: Allocator> IntoIter<T, A> {
     }
 
     /// Forgets to Drop the remaining elements while still allowing the backing allocation to be freed.
+    #[cfg(not(no_global_oom_handling))]
     pub(crate) fn forget_remaining_elements(&mut self) {
         self.ptr = self.end;
     }