diff --git a/CHANGELOG.md b/CHANGELOG.md
index cddc5f9c67..1d1d270cc7 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -11,6 +11,10 @@
 
 - Only attach user attributes to logs if `sendDefaultPii` is enabled ([#5036](https://github.com/getsentry/sentry-java/pull/5036))
 
+### Fixes
+
+- Reject new logs if `LoggerBatchProcessor` is shutting down ([#5041](https://github.com/getsentry/sentry-java/pull/5041))
+
 ### Dependencies
 
 - Bump Native SDK from v0.12.2 to v0.12.3 ([#5012](https://github.com/getsentry/sentry-java/pull/5012))
diff --git a/sentry/src/main/java/io/sentry/logger/LoggerBatchProcessor.java b/sentry/src/main/java/io/sentry/logger/LoggerBatchProcessor.java
index 290087a641..1f9b8fe7ce 100644
--- a/sentry/src/main/java/io/sentry/logger/LoggerBatchProcessor.java
+++ b/sentry/src/main/java/io/sentry/logger/LoggerBatchProcessor.java
@@ -38,6 +38,7 @@ public class LoggerBatchProcessor implements ILoggerBatchProcessor {
   private volatile @Nullable Future<?> scheduledFlush;
   private final @NotNull AutoClosableReentrantLock scheduleLock = new AutoClosableReentrantLock();
   private volatile boolean hasScheduled = false;
+  private volatile boolean isShuttingDown = false;
 
   private final @NotNull ReusableCountLatch pendingCount = new ReusableCountLatch();
 
@@ -51,6 +52,9 @@ public LoggerBatchProcessor(
 
   @Override
   public void add(final @NotNull SentryLogEvent logEvent) {
+    if (isShuttingDown) {
+      return;
+    }
     if (pendingCount.getCount() >= MAX_QUEUE_SIZE) {
       options
           .getClientReportRecorder()
@@ -70,6 +74,7 @@ public void add(final @NotNull SentryLogEvent logEvent) {
   @SuppressWarnings("FutureReturnValueIgnored")
   @Override
   public void close(final boolean isRestarting) {
+    isShuttingDown = true;
     if (isRestarting) {
       maybeSchedule(true, true);
       executorService.submit(() -> executorService.close(options.getShutdownTimeoutMillis()));