diff --git a/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsProcessObservationContext.java b/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsProcessObservationContext.java
index 4d8d29a892..3c28fe457f 100644
--- a/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsProcessObservationContext.java
+++ b/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsProcessObservationContext.java
@@ -16,6 +16,7 @@
 
 package io.micrometer.jakarta9.instrument.jms;
 
+import io.micrometer.common.util.internal.logging.WarnThenDebugLogger;
 import io.micrometer.observation.transport.ReceiverContext;
 import jakarta.jms.JMSException;
 import jakarta.jms.Message;
@@ -33,12 +34,15 @@
  */
 public class JmsProcessObservationContext extends ReceiverContext<Message> {
 
+    private static final WarnThenDebugLogger logger = new WarnThenDebugLogger(JmsProcessObservationContext.class);
+
     public JmsProcessObservationContext(Message receivedMessage) {
         super((message, key) -> {
             try {
                 return message.getStringProperty(key);
             }
-            catch (JMSException exc) {
+            catch (JMSException | RuntimeException exc) {
+                logger.log("Failed get message property.", exc);
                 return null;
             }
         });
diff --git a/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsPublishObservationContext.java b/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsPublishObservationContext.java
index f16d2154d9..64e015c74f 100644
--- a/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsPublishObservationContext.java
+++ b/micrometer-jakarta9/src/main/java/io/micrometer/jakarta9/instrument/jms/JmsPublishObservationContext.java
@@ -17,6 +17,7 @@
 package io.micrometer.jakarta9.instrument.jms;
 
 import io.micrometer.common.lang.Nullable;
+import io.micrometer.common.util.internal.logging.WarnThenDebugLogger;
 import io.micrometer.observation.transport.SenderContext;
 import jakarta.jms.JMSException;
 import jakarta.jms.Message;
@@ -33,15 +34,17 @@
  */
 public class JmsPublishObservationContext extends SenderContext<Message> {
 
+    private static final WarnThenDebugLogger logger = new WarnThenDebugLogger(JmsPublishObservationContext.class);
+
     public JmsPublishObservationContext(@Nullable Message sendMessage) {
         super((message, key, value) -> {
-            try {
-                if (message != null) {
+            if (message != null) {
+                try {
                     message.setStringProperty(key, value);
                 }
-            }
-            catch (JMSException exc) {
-                // ignore
+                catch (JMSException | RuntimeException exc) {
+                    logger.log("Failed set message property.", exc);
+                }
             }
         });
         setCarrier(sendMessage);