diff --git a/tokio/src/sync/batch_semaphore.rs b/tokio/src/sync/batch_semaphore.rs
index 8736971a147..803f2a18c6d 100644
--- a/tokio/src/sync/batch_semaphore.rs
+++ b/tokio/src/sync/batch_semaphore.rs
@@ -41,15 +41,28 @@ struct Waitlist {
     closed: bool,
 }
 
-/// Error returned by `Semaphore::try_acquire`.
-#[derive(Debug)]
-pub(crate) enum TryAcquireError {
+/// Error returned from the [`Semaphore::try_acquire`] function.
+///
+/// [`Semaphore::try_acquire`]: crate::sync::Semaphore::try_acquire
+#[derive(Debug, PartialEq)]
+pub enum TryAcquireError {
+    /// The semaphore has been [closed] and cannot issue new permits.
+    ///
+    /// [closed]: crate::sync::Semaphore::close
     Closed,
+
+    /// The semaphore has no available permits.
     NoPermits,
 }
-/// Error returned by `Semaphore::acquire`.
+/// Error returned from the [`Semaphore::acquire`] function.
+///
+/// An `acquire` operation can only fail if the semaphore has been
+/// [closed].
+///
+/// [closed]: crate::sync::Semaphore::close
+/// [`Semaphore::acquire`]: crate::sync::Semaphore::acquire
 #[derive(Debug)]
-pub(crate) struct AcquireError(());
+pub struct AcquireError(());
 
 pub(crate) struct Acquire<'a> {
     node: Waiter,
@@ -164,8 +177,6 @@ impl Semaphore {
 
     /// Closes the semaphore. This prevents the semaphore from issuing new
     /// permits and notifies all pending waiters.
-    // This will be used once the bounded MPSC is updated to use the new
-    // semaphore implementation.
     pub(crate) fn close(&self) {
         let mut waiters = self.waiters.lock();
         // If the semaphore's permits counter has enough permits for an
diff --git a/tokio/src/sync/mod.rs b/tokio/src/sync/mod.rs
index d88bf9d65e0..a183fe6edd3 100644
--- a/tokio/src/sync/mod.rs
+++ b/tokio/src/sync/mod.rs
@@ -443,8 +443,10 @@ cfg_sync! {
     pub mod oneshot;
 
     pub(crate) mod batch_semaphore;
+    pub use batch_semaphore::{AcquireError, TryAcquireError};
+
     mod semaphore;
-    pub use semaphore::{Semaphore, SemaphorePermit, OwnedSemaphorePermit, TryAcquireError};
+    pub use semaphore::{Semaphore, SemaphorePermit, OwnedSemaphorePermit};
 
     mod rwlock;
     pub use rwlock::{RwLock, RwLockReadGuard, RwLockWriteGuard};
diff --git a/tokio/src/sync/semaphore.rs b/tokio/src/sync/semaphore.rs
index 2acccfa2fc1..5555bdf9324 100644
--- a/tokio/src/sync/semaphore.rs
+++ b/tokio/src/sync/semaphore.rs
@@ -1,4 +1,5 @@
 use super::batch_semaphore as ll; // low level implementation
+use super::{AcquireError, TryAcquireError};
 use std::sync::Arc;
 
 /// Counting semaphore performing asynchronous permit acquisition.
@@ -42,15 +43,6 @@ pub struct OwnedSemaphorePermit {
     permits: u32,
 }
 
-/// Error returned from the [`Semaphore::try_acquire`] function.
-///
-/// A `try_acquire` operation can only fail if the semaphore has no available
-/// permits.
-///
-/// [`Semaphore::try_acquire`]: Semaphore::try_acquire
-#[derive(Debug)]
-pub struct TryAcquireError(());
-
 #[test]
 #[cfg(not(loom))]
 fn bounds() {
@@ -95,73 +87,148 @@ impl Semaphore {
         self.ll_sem.release(n);
     }
 
-    /// Acquires permit from the semaphore.
-    pub async fn acquire(&self) -> SemaphorePermit<'_> {
-        self.ll_sem.acquire(1).await.unwrap();
-        SemaphorePermit {
+    /// Acquires a permit from the semaphore.
+    ///
+    /// If the semaphore has been closed, this returns an [`AcquireError`].
+    /// Otherwise, this returns a [`SemaphorePermit`] representing the
+    /// acquired permit.
+    ///
+    /// [`AcquireError`]: crate::sync::AcquireError
+    /// [`SemaphorePermit`]: crate::sync::SemaphorePermit
+    pub async fn acquire(&self) -> Result<SemaphorePermit<'_>, AcquireError> {
+        self.ll_sem.acquire(1).await?;
+        Ok(SemaphorePermit {
             sem: &self,
             permits: 1,
-        }
+        })
     }
 
-    /// Acquires `n` permits from the semaphore
-    pub async fn acquire_many(&self, n: u32) -> SemaphorePermit<'_> {
-        self.ll_sem.acquire(n).await.unwrap();
-        SemaphorePermit {
+    /// Acquires `n` permits from the semaphore.
+    ///
+    /// If the semaphore has been closed, this returns an [`AcquireError`].
+    /// Otherwise, this returns a [`SemaphorePermit`] representing the
+    /// acquired permits.
+    ///
+    /// [`AcquireError`]: crate::sync::AcquireError
+    /// [`SemaphorePermit`]: crate::sync::SemaphorePermit
+    pub async fn acquire_many(&self, n: u32) -> Result<SemaphorePermit<'_>, AcquireError> {
+        self.ll_sem.acquire(n).await?;
+        Ok(SemaphorePermit {
             sem: &self,
             permits: n,
-        }
+        })
     }
 
     /// Tries to acquire a permit from the semaphore.
+    ///
+    /// If the semaphore has been closed, this returns a [`TryAcquireError::Closed`]
+    /// and a [`TryAcquireError::NoPermits`] if there are no permits left. Otherwise,
+    /// this returns a [`SemaphorePermit`] representing the acquired permits.
+    ///
+    /// [`TryAcquireError::Closed`]: crate::sync::TryAcquireError::Closed
+    /// [`TryAcquireError::NoPermits`]: crate::sync::TryAcquireError::NoPermits
+    /// [`SemaphorePermit`]: crate::sync::SemaphorePermit
     pub fn try_acquire(&self) -> Result<SemaphorePermit<'_>, TryAcquireError> {
         match self.ll_sem.try_acquire(1) {
             Ok(_) => Ok(SemaphorePermit {
                 sem: self,
                 permits: 1,
             }),
-            Err(_) => Err(TryAcquireError(())),
+            Err(e) => Err(e),
         }
     }
 
-    /// Tries to acquire `n` permits from the semaphore.
+    /// Tries to acquire n permits from the semaphore.
+    ///
+    /// If the semaphore has been closed, this returns a [`TryAcquireError::Closed`]
+    /// and a [`TryAcquireError::NoPermits`] if there are no permits left. Otherwise,
+    /// this returns a [`SemaphorePermit`] representing the acquired permits.
+    ///
+    /// [`TryAcquireError::Closed`]: crate::sync::TryAcquireError::Closed
+    /// [`TryAcquireError::NoPermits`]: crate::sync::TryAcquireError::NoPermits
+    /// [`SemaphorePermit`]: crate::sync::SemaphorePermit
     pub fn try_acquire_many(&self, n: u32) -> Result<SemaphorePermit<'_>, TryAcquireError> {
         match self.ll_sem.try_acquire(n) {
             Ok(_) => Ok(SemaphorePermit {
                 sem: self,
                 permits: n,
             }),
-            Err(_) => Err(TryAcquireError(())),
+            Err(e) => Err(e),
         }
     }
 
-    /// Acquires permit from the semaphore.
+    /// Acquires a permit from the semaphore.
     ///
     /// The semaphore must be wrapped in an [`Arc`] to call this method.
+    /// If the semaphore has been closed, this returns an [`AcquireError`].
+    /// Otherwise, this returns a [`OwnedSemaphorePermit`] representing the
+    /// acquired permit.
     ///
     /// [`Arc`]: std::sync::Arc
-    pub async fn acquire_owned(self: Arc<Self>) -> OwnedSemaphorePermit {
-        self.ll_sem.acquire(1).await.unwrap();
-        OwnedSemaphorePermit {
+    /// [`AcquireError`]: crate::sync::AcquireError
+    /// [`OwnedSemaphorePermit`]: crate::sync::OwnedSemaphorePermit
+    pub async fn acquire_owned(self: Arc<Self>) -> Result<OwnedSemaphorePermit, AcquireError> {
+        self.ll_sem.acquire(1).await?;
+        Ok(OwnedSemaphorePermit {
             sem: self,
             permits: 1,
-        }
+        })
     }
 
     /// Tries to acquire a permit from the semaphore.
     ///
-    /// The semaphore must be wrapped in an [`Arc`] to call this method.
+    /// The semaphore must be wrapped in an [`Arc`] to call this method. If
+    /// the semaphore has been closed, this returns a [`TryAcquireError::Closed`]
+    /// and a [`TryAcquireError::NoPermits`] if there are no permits left.
+    /// Otherwise, this returns a [`OwnedSemaphorePermit`] representing the
+    /// acquired permit.
     ///
     /// [`Arc`]: std::sync::Arc
+    /// [`TryAcquireError::Closed`]: crate::sync::TryAcquireError::Closed
+    /// [`TryAcquireError::NoPermits`]: crate::sync::TryAcquireError::NoPermits
+    /// [`OwnedSemaphorePermit`]: crate::sync::OwnedSemaphorePermit
     pub fn try_acquire_owned(self: Arc<Self>) -> Result<OwnedSemaphorePermit, TryAcquireError> {
         match self.ll_sem.try_acquire(1) {
             Ok(_) => Ok(OwnedSemaphorePermit {
                 sem: self,
                 permits: 1,
             }),
-            Err(_) => Err(TryAcquireError(())),
+            Err(e) => Err(e),
         }
     }
+
+    /// Closes the semaphore.
+    ///
+    /// This prevents the semaphore from issuing new permits and notifies all pending waiters.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use tokio::sync::Semaphore;
+    /// use std::sync::Arc;
+    /// use tokio::sync::TryAcquireError;
+    ///
+    /// #[tokio::main]
+    /// async fn main() {
+    ///     let semaphore = Arc::new(Semaphore::new(1));
+    ///     let semaphore2 = semaphore.clone();
+    ///
+    ///     tokio::spawn(async move {
+    ///         let permit = semaphore.acquire_many(2).await;
+    ///         assert!(permit.is_err());
+    ///         println!("waiter received error");
+    ///     });
+    ///
+    ///     println!("closing semaphore");
+    ///     semaphore2.close();
+    ///
+    ///     // Cannot obtain more permits
+    ///     assert_eq!(semaphore2.try_acquire().err(), Some(TryAcquireError::Closed))
+    /// }
+    /// ```
+    pub fn close(&self) {
+        self.ll_sem.close();
+    }
 }
 
 impl<'a> SemaphorePermit<'a> {