diff --git a/mobly/controllers/android_device_lib/logcat_processor.py b/mobly/controllers/android_device_lib/logcat_processor.py
index 7ce29529..7f46ad91 100644
--- a/mobly/controllers/android_device_lib/logcat_processor.py
+++ b/mobly/controllers/android_device_lib/logcat_processor.py
@@ -487,12 +487,13 @@ def tail(
           if remaining > 0:
             remainder = split[0]
             lines_chunk = split[1:]
+            current_offset = remaining + len(remainder) + 1
           else:
             remainder = b''
             lines_chunk = split
+            current_offset = 0
 
           # Calculate offsets and parse lines in reverse order within this block
-          current_offset = remaining + len(remainder)
           block_lines: list[tuple[int, LogLine]] = []
           for line_bytes in lines_chunk:
             line_offset = current_offset
diff --git a/tests/mobly/controllers/android_device_lib/services/logcat_test.py b/tests/mobly/controllers/android_device_lib/services/logcat_test.py
index 883324c1..ae49cb1d 100755
--- a/tests/mobly/controllers/android_device_lib/services/logcat_test.py
+++ b/tests/mobly/controllers/android_device_lib/services/logcat_test.py
@@ -901,6 +901,21 @@ def test_tail_recent_logs(self):
     self.assertEqual(recent_logs[-1].tag, 'BtGatt')
     self.assertEqual(recent_logs[-1].level, 'F')
 
+  def test_tail_position_in_large_file(self):
+    # Make the file larger than the block size tail() reads at a time.
+    self._append_log(
+        '08-09 22:00:05.000  1000  1030 I Filler: padding\n' * 2000
+    )
+    start = self.logcat_service.now()
+    self._append_log(
+        '08-09 22:00:06.000  1000  1030 I WifiService: Disconnected from'
+        ' wlan0\n'
+    )
+
+    last_line = self.logcat_service.tail(num_lines=1)[0]
+    self.assertEqual(last_line.message, 'Disconnected from wlan0')
+    self.assertTrue(last_line.position > start)
+
   def test_now_and_bounded_query(self):
     # Take position marker before triggering an action
     start = self.logcat_service.now()