diff --git a/README.md b/README.md
index 183bb58..fad58f3 100644
--- a/README.md
+++ b/README.md
@@ -127,6 +127,7 @@ LOGGING = {
 - appname - Your django app
 
 ## Release Notes
+- 2.0.3 - Fix bug that consumed more logs while draining than Logz.io's bulk limit
 - 2.0.2 - Support for formatted messages (Thanks @johnraz!)
 - 2.0.1 - Added __all__ to __init__.py, so support * imports
 - 2.0.0 - Production, stable release. 
diff --git a/logzio/sender.py b/logzio/sender.py
index e504c6d..35bfb93 100644
--- a/logzio/sender.py
+++ b/logzio/sender.py
@@ -11,7 +11,7 @@ if sys.version[0] == '2':
 else:
     import queue as queue
 
-MAX_BULK_SIZE_IN_BYTES = 3 * 1024 * 1024  # 3 MB
+MAX_BULK_SIZE_IN_BYTES = 1 * 1024 * 1024  # 1 MB
 
 
 def backup_logs(logs):
@@ -112,8 +112,11 @@ class LogzioSender:
 
     def _get_messages_up_to_max_allowed_size(self):
         logs_list = []
+        current_size = 0
         while not self.queue.empty():
-            logs_list.append(self.queue.get())
-            if sys.getsizeof(logs_list) >= MAX_BULK_SIZE_IN_BYTES:
+            current_log = self.queue.get()
+            current_size += sys.getsizeof(current_log)
+            logs_list.append(current_log)
+            if current_size >= MAX_BULK_SIZE_IN_BYTES:
                 break
         return logs_list
diff --git a/setup.py b/setup.py
index 5fd5778..438f2a8 100644
--- a/setup.py
+++ b/setup.py
@@ -4,7 +4,7 @@ from setuptools import setup, find_packages
 
 setup(
     name="logzio-python-handler",
-    version='2.0.2',
+    version='2.0.3',
     description="Logging handler to send logs to your Logz.io account with bulk SSL",
     keywords="logging handler logz.io bulk https",
     author="roiravhon",