diff --git a/opentelemetry-sdk/src/logs/log_processor_with_async_runtime.rs b/opentelemetry-sdk/src/logs/log_processor_with_async_runtime.rs
index e5649d886b..438312fd56 100644
--- a/opentelemetry-sdk/src/logs/log_processor_with_async_runtime.rs
+++ b/opentelemetry-sdk/src/logs/log_processor_with_async_runtime.rs
@@ -188,7 +188,12 @@ impl<R: RuntimeChannel> BatchLogProcessor<R> {
                         )
                         .await;
 
-                        exporter.shutdown();
+                        if let Err(shutdown_error) = exporter.shutdown() {
+                            otel_debug!(
+                                name: "BatchLogProcessor.Shutdown.Error",
+                                error = format!("{}", shutdown_error),
+                            );
+                        }
 
                         if let Err(send_error) = ch.send(result) {
                             otel_debug!(
@@ -282,7 +287,7 @@ where
 
 #[cfg(all(test, feature = "testing", feature = "logs"))]
 mod tests {
-    use crate::export::logs::{LogBatch, LogExporter};
+    use crate::export::logs::{LogBatch, LogExporter, ShutdownResult};
     use crate::logs::log_processor::{
         OTEL_BLRP_EXPORT_TIMEOUT, OTEL_BLRP_MAX_EXPORT_BATCH_SIZE, OTEL_BLRP_MAX_QUEUE_SIZE,
         OTEL_BLRP_SCHEDULE_DELAY,
@@ -325,7 +330,9 @@ mod tests {
             async { Ok(()) }
         }
 
-        fn shutdown(&mut self) {}
+        fn shutdown(&mut self) -> ShutdownResult {
+            Ok(())
+        }
 
         fn set_resource(&mut self, resource: &Resource) {
             self.resource
diff --git a/opentelemetry-sdk/src/trace/span_processor_with_async_runtime.rs b/opentelemetry-sdk/src/trace/span_processor_with_async_runtime.rs
index c3c241c776..276a33f89f 100644
--- a/opentelemetry-sdk/src/trace/span_processor_with_async_runtime.rs
+++ b/opentelemetry-sdk/src/trace/span_processor_with_async_runtime.rs
@@ -287,7 +287,12 @@ impl<R: RuntimeChannel> BatchSpanProcessorInternal<R> {
             // Stream has terminated or processor is shutdown, return to finish execution.
             BatchMessage::Shutdown(ch) => {
                 self.flush(Some(ch)).await;
-                self.exporter.shutdown();
+                if let Err(shutdown_error) = self.exporter.shutdown() {
+                    otel_debug!(
+                        name: "BatchSpanProcessor.ShutdownError",
+                        msg = format!("{:?}", shutdown_error)
+                    );
+                }
                 return false;
             }
             // propagate the resource