diff --git a/noodles-bgzf/src/multithreaded_reader.rs b/noodles-bgzf/src/multithreaded_reader.rs
index 42e5b4416..50ea58124 100644
--- a/noodles-bgzf/src/multithreaded_reader.rs
+++ b/noodles-bgzf/src/multithreaded_reader.rs
@@ -26,6 +26,7 @@ enum State<R> {
         read_rx: ReadRx,
         recycle_tx: RecycleTx,
     },
+    Done,
 }
 
 #[derive(Debug, Default)]
@@ -39,7 +40,7 @@ struct Buffer {
 /// This is a multithreaded BGZF reader that uses a thread pool to decompress block data. It places
 /// the inner reader on its own thread to read raw frames asynchronously.
 pub struct MultithreadedReader<R> {
-    state: Option<State<R>>,
+    state: State<R>,
     worker_count: NonZeroUsize,
     position: u64,
     buffer: Buffer,
@@ -86,7 +87,9 @@ impl<R> MultithreadedReader<R> {
     /// # Ok::<_, io::Error>(())
     /// ```
     pub fn finish(&mut self) -> io::Result<R> {
-        match self.state.take().unwrap() {
+        let state = mem::replace(&mut self.state, State::Done);
+
+        match state {
             State::Paused(inner) => Ok(inner),
             State::Running {
                 reader_handle,
@@ -102,6 +105,7 @@ impl<R> MultithreadedReader<R> {
 
                 reader_handle.join().unwrap().map_err(|e| e.1)
             }
+            State::Done => panic!("invalid state"),
         }
     }
 }
@@ -135,7 +139,7 @@ where
     /// ```
     pub fn with_worker_count(worker_count: NonZeroUsize, inner: R) -> Self {
         Self {
-            state: Some(State::Paused(inner)),
+            state: State::Paused(inner),
             worker_count,
             position: 0,
             buffer: Buffer::default(),
@@ -155,18 +159,20 @@ where
     pub fn get_mut(&mut self) -> &mut R {
         self.pause();
 
-        match self.state.as_mut() {
-            Some(State::Paused(inner)) => inner,
+        match &mut self.state {
+            State::Paused(inner) => inner,
             _ => panic!("invalid state"),
         }
     }
 
     fn resume(&mut self) {
-        if matches!(self.state, Some(State::Running { .. })) {
+        if matches!(self.state, State::Running { .. }) {
             return;
         }
 
-        let Some(State::Paused(inner)) = self.state.take() else {
+        let state = mem::replace(&mut self.state, State::Done);
+
+        let State::Paused(inner) = state else {
             panic!("invalid state");
         };
 
@@ -183,25 +189,27 @@ where
         let reader_handle = spawn_reader(inner, inflate_tx, read_tx, recycle_rx);
         let inflater_handles = spawn_inflaters(self.worker_count, inflate_rx);
 
-        self.state = Some(State::Running {
+        self.state = State::Running {
             reader_handle,
             inflater_handles,
             read_rx,
             recycle_tx,
-        });
+        };
     }
 
     fn pause(&mut self) {
-        if matches!(self.state, Some(State::Paused(_))) {
+        if matches!(self.state, State::Paused(_)) {
             return;
         }
 
+        let state = mem::replace(&mut self.state, State::Done);
+
         let State::Running {
             reader_handle,
             mut inflater_handles,
             recycle_tx,
             ..
-        } = self.state.take().unwrap()
+        } = state
         else {
             panic!("invalid state");
         };
@@ -218,7 +226,7 @@ where
             Err(ReadError(inner, _)) => inner,
         };
 
-        self.state = Some(State::Paused(inner));
+        self.state = State::Paused(inner);
     }
 
     fn read_block(&mut self) -> io::Result<()> {
@@ -228,7 +236,7 @@ where
             read_rx,
             recycle_tx,
             ..
-        } = self.state.as_ref().unwrap()
+        } = &self.state
         else {
             panic!("invalid state");
         };
@@ -280,7 +288,7 @@ where
 
 impl<R> Drop for MultithreadedReader<R> {
     fn drop(&mut self) {
-        if self.state.is_some() {
+        if !matches!(self.state, State::Done) {
             let _ = self.finish();
         }
     }