diff --git a/dledger/src/test/java/io/openmessaging/storage/dledger/AppendAndPushTest.java b/dledger/src/test/java/io/openmessaging/storage/dledger/AppendAndPushTest.java
index f35c44c6..f65082fa 100644
--- a/dledger/src/test/java/io/openmessaging/storage/dledger/AppendAndPushTest.java
+++ b/dledger/src/test/java/io/openmessaging/storage/dledger/AppendAndPushTest.java
@@ -114,6 +114,54 @@ public void testPushNetworkOffline() throws Exception {
         Assertions.assertTrue(hasWait);
     }
 
+    @Test
+    public void testPushNetworkOfflineWithSmallFallConfig() throws Exception {
+        String group = UUID.randomUUID().toString();
+        String peers = String.format("n0-localhost:%d;n1-localhost:%d", nextPort(), nextPort());
+
+        DLedgerServer dLedgerServer0 = launchServer(group, peers, "n0", "n0", DLedgerConfig.FILE);
+        dLedgerServer0.getDLedgerConfig().setMaxPendingCommitBytes(100);
+        boolean hasWait = false;
+        for (int i = 0; i < 3; i++) {
+            AppendEntryRequest appendEntryRequest = new AppendEntryRequest();
+            appendEntryRequest.setGroup(group);
+            appendEntryRequest.setRemoteId(dLedgerServer0.getMemberState().getSelfId());
+            appendEntryRequest.setBody(new byte[128]);
+            CompletableFuture<AppendEntryResponse> future = dLedgerServer0.handleAppend(appendEntryRequest);
+            Assertions.assertTrue(future instanceof AppendFuture);
+            if (future.isDone()) {
+                Assertions.assertEquals(DLedgerResponseCode.LEADER_PENDING_FULL.getCode(), future.get().getCode());
+                hasWait = true;
+                break;
+            }
+        }
+        Assertions.assertTrue(hasWait);
+    }
+
+    @Test
+    public void testPushNetworkOfflineWithSmallPendingCommitIndex() throws Exception {
+        String group = UUID.randomUUID().toString();
+        String peers = String.format("n0-localhost:%d;n1-localhost:%d", nextPort(), nextPort());
+
+        DLedgerServer dLedgerServer0 = launchServer(group, peers, "n0", "n0", DLedgerConfig.FILE);
+        dLedgerServer0.getDLedgerConfig().setMaxPendingCommitIndexNum(10);
+        boolean hasWait = false;
+        for (int i = 0; i < 12; i++) {
+            AppendEntryRequest appendEntryRequest = new AppendEntryRequest();
+            appendEntryRequest.setGroup(group);
+            appendEntryRequest.setRemoteId(dLedgerServer0.getMemberState().getSelfId());
+            appendEntryRequest.setBody(new byte[128]);
+            CompletableFuture<AppendEntryResponse> future = dLedgerServer0.handleAppend(appendEntryRequest);
+            Assertions.assertTrue(future instanceof AppendFuture);
+            if (future.isDone()) {
+                Assertions.assertEquals(DLedgerResponseCode.LEADER_PENDING_FULL.getCode(), future.get().getCode());
+                hasWait = true;
+                break;
+            }
+        }
+        Assertions.assertTrue(hasWait);
+    }
+
     @Test
     public void testPushNetworkNotStable() throws Exception {
         String group = UUID.randomUUID().toString();
diff --git a/dledger/src/test/java/io/openmessaging/storage/dledger/BatchPushTest.java b/dledger/src/test/java/io/openmessaging/storage/dledger/BatchPushTest.java
index 07f7a55e..c96385ba 100644
--- a/dledger/src/test/java/io/openmessaging/storage/dledger/BatchPushTest.java
+++ b/dledger/src/test/java/io/openmessaging/storage/dledger/BatchPushTest.java
@@ -150,6 +150,58 @@ public void testBatchPushNetworkOffline() throws Exception {
         Assertions.assertTrue(hasWait);
     }
 
+    @Test
+    public void testBatchPushNetworkOfflineWithSmallFall() throws Exception {
+        String group = UUID.randomUUID().toString();
+        String peers = String.format("n0-localhost:%d;n1-localhost:%d", nextPort(), nextPort());
+
+        DLedgerServer dLedgerServer0 = launchServerEnableBatchPush(group, peers, "n0", "n0", DLedgerConfig.FILE);
+        dLedgerServer0.getDLedgerConfig().setMaxPendingCommitBytes(100);
+
+        boolean hasWait = false;
+        for (int i = 0; i < 3; i++) {
+            AppendEntryRequest appendEntryRequest = new AppendEntryRequest();
+            appendEntryRequest.setGroup(group);
+            appendEntryRequest.setRemoteId(dLedgerServer0.getMemberState().getSelfId());
+            appendEntryRequest.setBody(new byte[128]);
+            CompletableFuture<AppendEntryResponse> future = dLedgerServer0.handleAppend(appendEntryRequest);
+            Assertions.assertTrue(future instanceof AppendFuture);
+            if (future.isDone()) {
+                Assertions.assertEquals(DLedgerResponseCode.LEADER_PENDING_FULL.getCode(), future.get().getCode());
+                hasWait = true;
+                break;
+            }
+        }
+        dLedgerServer0.shutdown();
+        Assertions.assertTrue(hasWait);
+    }
+
+    @Test
+    public void testBatchPushNetworkOfflineWithSmallPendingCommitIndex() throws Exception {
+        String group = UUID.randomUUID().toString();
+        String peers = String.format("n0-localhost:%d;n1-localhost:%d", nextPort(), nextPort());
+
+        DLedgerServer dLedgerServer0 = launchServerEnableBatchPush(group, peers, "n0", "n0", DLedgerConfig.FILE);
+        dLedgerServer0.getDLedgerConfig().setMaxPendingCommitIndexNum(10);
+
+        boolean hasWait = false;
+        for (int i = 0; i < 12; i++) {
+            AppendEntryRequest appendEntryRequest = new AppendEntryRequest();
+            appendEntryRequest.setGroup(group);
+            appendEntryRequest.setRemoteId(dLedgerServer0.getMemberState().getSelfId());
+            appendEntryRequest.setBody(new byte[128]);
+            CompletableFuture<AppendEntryResponse> future = dLedgerServer0.handleAppend(appendEntryRequest);
+            Assertions.assertTrue(future instanceof AppendFuture);
+            if (future.isDone()) {
+                Assertions.assertEquals(DLedgerResponseCode.LEADER_PENDING_FULL.getCode(), future.get().getCode());
+                hasWait = true;
+                break;
+            }
+        }
+        dLedgerServer0.shutdown();
+        Assertions.assertTrue(hasWait);
+    }
+
     @Test
     public void testBatchPushNetworkNotStable() throws Exception {
         String group = UUID.randomUUID().toString();