diff --git a/src/ClientException.php b/src/ClientException.php
index 03f53d30..26e224f0 100644
--- a/src/ClientException.php
+++ b/src/ClientException.php
@@ -2,6 +2,8 @@
 
 namespace Amp\Http\Server;
 
+use Amp\ByteStream\StreamException;
+
 /**
  * A ClientException thrown from {@see RequestBody::read()} or {@see RequestBody::buffer()} indicates that the
  * requesting client stream has been closed due to an error or exceeding a server limit such as the body size limit.
@@ -17,7 +19,7 @@
  * Responses returned by request handlers after a ClientException has been thrown will be ignored, as a response has
  * already been generated by the error handler.
  */
-class ClientException extends \Exception
+class ClientException extends StreamException
 {
     /** @internal Do not instantiate instances of this exception in your request handlers or middleware! */
     public function __construct(
diff --git a/src/Driver/Http1Driver.php b/src/Driver/Http1Driver.php
index 0f0e8af3..7388810f 100644
--- a/src/Driver/Http1Driver.php
+++ b/src/Driver/Http1Driver.php
@@ -749,13 +749,13 @@ static function (int $bodySize) use (&$bodySizeLimit): void {
                 $this->pendingResponse->await(); // Wait for response to be generated.
                 $this->pendingResponseCount--;
             } while ($this->continue);
-        } catch (StreamException) {
-            // Client disconnected, finally block will clean up.
         } catch (ClientException $exception) {
             if ($this->bodyQueue === null || !$this->pendingResponseCount) {
                 // Send an error response only if another response has not already been sent to the request.
                 $this->sendErrorResponse($exception, $request ?? null)->await();
             }
+        } catch (StreamException) {
+            // Client disconnected, finally block will clean up.
         } finally {
             $this->pendingResponse->finally(function (): void {
                 $this->removeTimeout();
diff --git a/src/Driver/Http2Driver.php b/src/Driver/Http2Driver.php
index 99e37953..2d1eb81c 100644
--- a/src/Driver/Http2Driver.php
+++ b/src/Driver/Http2Driver.php
@@ -165,7 +165,7 @@ public function initializeWriting(
 
         if ($this->settings !== null) {
             // Upgraded connections automatically assume an initial stream with ID 1.
-            // No date will be incoming on this stream, so body size of 0.
+            // No data will be incoming on this stream, so body size of 0.
             $this->createStream(1, 0, Http2Stream::RESERVED | Http2Stream::REMOTE_CLOSED);
             $this->remoteStreamId = \max(1, $this->remoteStreamId);
             $this->remainingStreams--;
@@ -364,11 +364,11 @@ private function send(int $id, Response $response, Request $request, Cancellatio
                     $id,
                 );
             }
-        } catch (StreamException|CancelledException) {
-            // Client disconnected, ignore and proceed to clean up below.
-            $chunk = null;
         } catch (ClientException $exception) {
             $error = $exception->getCode() ?? Http2Parser::CANCEL; // Set error code to be used below.
+        } catch (StreamException|CancelledException) {
+            // Body stream threw or client disconnected, ignore and proceed to clean up below.
+            $chunk = null;
         } catch (\Throwable $throwable) {
             // Will be rethrown after cleanup below.
         }
diff --git a/src/RequestBody.php b/src/RequestBody.php
index 06f9810a..ef3b3a87 100644
--- a/src/RequestBody.php
+++ b/src/RequestBody.php
@@ -12,7 +12,7 @@
 /**
  * This class allows streamed and buffered access to a request body with an API similar to {@see Payload}.
  *
- * The {@see read()} and {@see buffer()} methods can also throw {@see ClientException} in addition to the usual
+ * The {@see read()} and {@see buffer()} methods can throw {@see ClientException}, which extends
  * {@see StreamException}, though generally there is no need to catch this exception.
  *
  * Additionally, this class allows increasing the body size limit dynamically.
@@ -37,7 +37,6 @@ public function __construct(
 
     /**
      * @throws ClientException
-     * @throws StreamException
      */
     public function read(?Cancellation $cancellation = null): ?string
     {
@@ -46,7 +45,7 @@ public function read(?Cancellation $cancellation = null): ?string
 
     /**
      * @see Payload::buffer()
-     * @throws ClientException|BufferException|StreamException
+     * @throws ClientException|BufferException
      */
     public function buffer(?Cancellation $cancellation = null, int $limit = \PHP_INT_MAX): string
     {
@@ -92,7 +91,7 @@ public function increaseSizeLimit(int $size): void
      * Buffers entire stream before returning. Use {@see self::buffer()} to optionally provide a {@see Cancellation}
      * and/or length limit.
      *
-     * @throws ClientException|BufferException|StreamException
+     * @throws ClientException|BufferException
      */
     public function __toString(): string
     {