diff --git a/bin/jmeter.properties b/bin/jmeter.properties
index 58c540cfd9c..f75f3136f8f 100644
--- a/bin/jmeter.properties
+++ b/bin/jmeter.properties
@@ -1174,6 +1174,9 @@ cookies=cookies
 # How often to check for shutdown during ramp-up (milliseconds)
 #jmeterthread.rampup.granularity=1000
 
+# How often to check for shutdown during timer delay (milliseconds)
+#jmeterthread.timer.granularity=1000
+
 #Should JMeter expand the tree when loading a test plan?
 # default value is false since JMeter 2.7
 #onload.expandtree=false
diff --git a/src/core/src/main/java/org/apache/jmeter/threads/JMeterThread.java b/src/core/src/main/java/org/apache/jmeter/threads/JMeterThread.java
index 35f94b26982..c6498ba8cd5 100644
--- a/src/core/src/main/java/org/apache/jmeter/threads/JMeterThread.java
+++ b/src/core/src/main/java/org/apache/jmeter/threads/JMeterThread.java
@@ -80,6 +80,10 @@ public class JMeterThread implements Runnable, Interruptible {
     private static final int RAMPUP_GRANULARITY =
             JMeterUtils.getPropDefault("jmeterthread.rampup.granularity", 1000); // $NON-NLS-1$
 
+    /** How often to check for shutdown during timer delay, default 1000ms */
+    private static final int TIMER_GRANULARITY =
+            JMeterUtils.getPropDefault("jmeterthread.timer.granularity", 1000); // $NON-NLS-1$
+
     private static final float TIMER_FACTOR = JMeterUtils.getPropDefault("timer.factor", 1.0f);
 
     private static final TimerService TIMER_SERVICE = TimerService.getInstance();
@@ -998,21 +1002,36 @@ private void delay(List<? extends Timer> timers) {
             totalDelay += delay;
         }
         if (totalDelay > 0) {
-            try {
-                if (scheduler) {
-                    // We reduce pause to ensure end of test is not delayed by a sleep ending after test scheduled end
-                    // See Bug 60049
-                    totalDelay = TIMER_SERVICE.adjustDelay(totalDelay, endTime, false);
-                    if (totalDelay < 0) {
-                        log.debug("The delay would be longer than the scheduled period, so stop thread now.");
-                        running = false;
-                        return;
+            if (scheduler) {
+                // We reduce pause to ensure end of test is not delayed by a sleep ending after test scheduled end
+                // See Bug 60049
+                totalDelay = TIMER_SERVICE.adjustDelay(totalDelay, endTime, false);
+                if (totalDelay < 0) {
+                    log.debug("The delay would be longer than the scheduled period, so stop thread now.");
+                    running = false;
+                    return;
+                }
+            }
+            // Use granular sleeps to allow quick response to shutdown
+            long start = System.currentTimeMillis();
+            long end = start + totalDelay;
+            long now;
+            long pause = TIMER_GRANULARITY;
+            while (running && (now = System.currentTimeMillis()) < end) {
+                long togo = end - now;
+                if (togo < pause) {
+                    pause = togo;
+                }
+                try {
+                    TimeUnit.MILLISECONDS.sleep(pause);
+                } catch (InterruptedException e) {
+                    if (running) { // NOSONAR running may have been changed from another thread
+                        log.warn("The delay timer was interrupted - Loss of delay for {} was {}ms out of {}ms",
+                                threadName, System.currentTimeMillis() - start, totalDelay);
                     }
+                    Thread.currentThread().interrupt();
+                    break;
                 }
-                TimeUnit.MILLISECONDS.sleep(totalDelay);
-            } catch (InterruptedException e) {
-                log.warn("The delay timer was interrupted - probably did not wait as long as intended.");
-                Thread.currentThread().interrupt();
             }
         }
     }
diff --git a/xdocs/usermanual/properties_reference.xml b/xdocs/usermanual/properties_reference.xml
index a40ae5027a6..995daf94a6e 100644
--- a/xdocs/usermanual/properties_reference.xml
+++ b/xdocs/usermanual/properties_reference.xml
@@ -1484,6 +1484,10 @@ JMETER-SERVER</source>
     How often to check for shutdown during ramp-up (milliseconds).<br/>
     Defaults to: <code>1000</code>
 </property>
+<property name="jmeterthread.timer.granularity">
+    How often to check for shutdown during timer delay (milliseconds).<br/>
+    Defaults to: <code>1000</code>
+</property>
 <property name="onload.expandtree">
     Should JMeter expand the tree when loading a test plan?<br/>
     Default value is <code>false</code> since JMeter 2.7<br/>