diff --git a/rust-runtime/aws-smithy-async/src/future/fn_stream.rs b/rust-runtime/aws-smithy-async/src/future/fn_stream.rs
index 3fdb280d5f..46d8d3850c 100644
--- a/rust-runtime/aws-smithy-async/src/future/fn_stream.rs
+++ b/rust-runtime/aws-smithy-async/src/future/fn_stream.rs
@@ -43,7 +43,7 @@ pin_project! {
         #[pin]
         rx: rendezvous::Receiver<Item>,
         #[pin]
-        generator: F,
+        generator: Option<F>,
     }
 }
 
@@ -58,7 +58,7 @@ impl<Item, F> FnStream<Item, F> {
         let (tx, rx) = rendezvous::channel::<Item>();
         Self {
             rx,
-            generator: generator(tx),
+            generator: Some(generator(tx)),
         }
     }
 }
@@ -74,7 +74,11 @@ where
         match me.rx.poll_recv(cx) {
             Poll::Ready(item) => Poll::Ready(item),
             Poll::Pending => {
-                let _ = me.generator.poll(cx);
+                if let Some(generator) = me.generator.as_mut().as_pin_mut() {
+                    if generator.poll(cx).is_ready() {
+                        me.generator.set(None);
+                    }
+                }
                 Poll::Pending
             }
         }
@@ -140,7 +144,10 @@ where
 #[cfg(test)]
 mod test {
     use crate::future::fn_stream::{FnStream, TryFlatMap};
+    use futures_util::task::noop_waker_ref;
+    use std::future::Future;
     use std::sync::{Arc, Mutex};
+    use std::task::Context;
     use std::time::Duration;
     use tokio_stream::StreamExt;
 
@@ -165,6 +172,30 @@ mod test {
         assert_eq!(out, vec!["1", "2", "3"]);
     }
 
+    // smithy-rs#1902: there was a bug where we could continue to poll the generator after it
+    // had returned Poll::Ready. This test case leaks the tx half so that the channel stays open
+    // but the send side generator completes. By calling `poll` multiple times on the resulting future,
+    // we can trigger the bug and validate the fix.
+    #[tokio::test]
+    async fn fn_stream_doesnt_poll_after_done() {
+        let mut stream = FnStream::new(|tx| {
+            Box::pin(async move {
+                assert!(tx.send("blah").await.is_ok());
+                Box::leak(Box::new(tx));
+            })
+        });
+        assert_eq!(stream.next().await, Some("blah"));
+        let mut fut = Box::pin(stream.next());
+        assert!(fut
+            .as_mut()
+            .poll(&mut Context::from_waker(noop_waker_ref()))
+            .is_pending());
+        assert!(fut
+            .as_mut()
+            .poll(&mut Context::from_waker(noop_waker_ref()))
+            .is_pending());
+    }
+
     /// Tests that the generator will not advance until demand exists
     #[tokio::test]
     async fn waits_for_reader() {