diff --git a/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/BidirectionalStreamingURLSessionDelegate.swift b/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/BidirectionalStreamingURLSessionDelegate.swift
index f457582..e9eade6 100644
--- a/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/BidirectionalStreamingURLSessionDelegate.swift
+++ b/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/BidirectionalStreamingURLSessionDelegate.swift
@@ -111,7 +111,15 @@ final class BidirectionalStreamingURLSessionDelegate: NSObject, URLSessionTaskDe
             let (inputStream, outputStream) = createStreamPair(withBufferSize: requestStreamBufferSize)
 
             // Bridge the output stream to the request body (which opens the output stream).
-            requestStream = HTTPBodyOutputStreamBridge(outputStream, requestBody!)
+            requestStream = HTTPBodyOutputStreamBridge(outputStream, requestBody!) { [weak self, weak task] error in
+                guard let self else {
+                    return
+                }
+                responseBodyStreamSource.finish(throwing: error)
+                responseContinuation?.resume(throwing: error)
+                responseContinuation = nil
+                task?.cancel()
+            }
 
             // Return the new input stream (unopened, it gets opened by URLSession).
             return inputStream
diff --git a/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/HTTPBodyOutputStreamBridge.swift b/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/HTTPBodyOutputStreamBridge.swift
index b416296..922b7da 100644
--- a/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/HTTPBodyOutputStreamBridge.swift
+++ b/Sources/OpenAPIURLSession/URLSessionBidirectionalStreaming/HTTPBodyOutputStreamBridge.swift
@@ -21,14 +21,16 @@ final class HTTPBodyOutputStreamBridge: NSObject, StreamDelegate {
 
     let httpBody: HTTPBody
     let outputStream: OutputStream
+    let producerErrorHandler: (any Error) -> Void
     private(set) var state: State {
         didSet { debug("Output stream delegate state transition: \(oldValue) -> \(state)") }
     }
 
     /// Creates a new `HTTPBodyOutputStreamBridge` and opens the output stream.
-    init(_ outputStream: OutputStream, _ httpBody: HTTPBody) {
+    init(_ outputStream: OutputStream, _ httpBody: HTTPBody, producerErrorHandler: @escaping (any Error) -> Void) {
         self.httpBody = httpBody
         self.outputStream = outputStream
+        self.producerErrorHandler = producerErrorHandler
         self.state = .initial
         super.init()
         self.outputStream.delegate = self
@@ -62,13 +64,22 @@ final class HTTPBodyOutputStreamBridge: NSObject, StreamDelegate {
         dispatchPrecondition(condition: .onQueue(Self.streamQueue))
         let task = Task {
             dispatchPrecondition(condition: .notOnQueue(Self.streamQueue))
-            for try await chunk in httpBody {
-                try await withCheckedThrowingContinuation { continuation in
-                    Self.streamQueue.async {
-                        debug("Output stream delegate produced chunk and suspended producer.")
-                        self.performAction(self.state.producedChunkAndSuspendedProducer(chunk, continuation))
+            do {
+                for try await chunk in httpBody {
+                    do {
+                        try await withCheckedThrowingContinuation { continuation in
+                            Self.streamQueue.async {
+                                debug("Output stream delegate produced chunk and suspended producer.")
+                                self.performAction(self.state.producedChunkAndSuspendedProducer(chunk, continuation))
+                            }
+                        }
+                    } catch {
+                        // Ignore errors when sending the request body
+                        break
                     }
                 }
+            } catch {
+                self.producerErrorHandler(error)
             }
             Self.streamQueue.async {
                 debug("Output stream delegate wrote final chunk.")
@@ -124,7 +135,7 @@ final class HTTPBodyOutputStreamBridge: NSObject, StreamDelegate {
 
 extension HTTPBodyOutputStreamBridge {
     typealias Chunk = ArraySlice<UInt8>
-    typealias ProducerTask = Task<Void, any Error>
+    typealias ProducerTask = Task<Void, Never>
     typealias ProducerContinuation = CheckedContinuation<Void, any Error>
 
     enum State {