diff --git a/flink-cdc-connect/flink-cdc-source-connectors/flink-connector-mysql-cdc/src/main/java/org/apache/flink/cdc/connectors/mysql/debezium/DebeziumUtils.java b/flink-cdc-connect/flink-cdc-source-connectors/flink-connector-mysql-cdc/src/main/java/org/apache/flink/cdc/connectors/mysql/debezium/DebeziumUtils.java
index 18e902db5aa..69819c74001 100644
--- a/flink-cdc-connect/flink-cdc-source-connectors/flink-connector-mysql-cdc/src/main/java/org/apache/flink/cdc/connectors/mysql/debezium/DebeziumUtils.java
+++ b/flink-cdc-connect/flink-cdc-source-connectors/flink-connector-mysql-cdc/src/main/java/org/apache/flink/cdc/connectors/mysql/debezium/DebeziumUtils.java
@@ -247,6 +247,9 @@ public static BinlogOffset findBinlogOffset(
         if (binlogFiles.isEmpty()) {
             return BinlogOffset.ofBinlogFilePosition("", 0);
         }
+        if (binlogFiles.size() == 1) {
+            return BinlogOffset.ofBinlogFilePosition(binlogFiles.get(0), 0);
+        }
 
         BinaryLogClient client = createBinaryClient(mySqlSourceConfig.getDbzConfiguration());
         if (mySqlSourceConfig.getServerIdRange() != null) {