diff --git a/cvat/apps/dataset_manager/views.py b/cvat/apps/dataset_manager/views.py
index 1df6384ec8b..a8e6af59803 100644
--- a/cvat/apps/dataset_manager/views.py
+++ b/cvat/apps/dataset_manager/views.py
@@ -135,6 +135,8 @@ def export(
             export_fn = task.export_job
             db_instance = Job.objects.get(pk=job_id)
 
+        db_instance.touch_last_export_date()
+
         cache_ttl = get_export_cache_ttl(db_instance)
         cache_dir = db_instance.get_export_cache_directory(create=True)
 
diff --git a/cvat/apps/engine/background.py b/cvat/apps/engine/background.py
index 41116b7c3a0..23b5aa838b3 100644
--- a/cvat/apps/engine/background.py
+++ b/cvat/apps/engine/background.py
@@ -493,8 +493,6 @@ def setup_background_job(
                 failure_ttl=cache_ttl.total_seconds(),
             )
 
-        self.db_instance.touch_last_export_date()
-
     def get_v1_endpoint_view_name(self) -> str:
         """
         Get view name of the endpoint for the first API version
@@ -766,8 +764,6 @@ def setup_background_job(
                 failure_ttl=cache_ttl.total_seconds(),
             )
 
-        self.db_instance.touch_last_export_date()
-
     def get_v1_endpoint_view_name(self) -> str:
         """Get view name of the endpoint for the first API version"""
 
diff --git a/cvat/apps/engine/backup.py b/cvat/apps/engine/backup.py
index 242db4a52c6..62786195a64 100644
--- a/cvat/apps/engine/backup.py
+++ b/cvat/apps/engine/backup.py
@@ -16,7 +16,6 @@
 from tempfile import NamedTemporaryFile
 from typing import Any, Collection, Dict, Iterable, Optional, Union, Type
 from zipfile import ZipFile
-import logging
 from datetime import timedelta
 
 import django_rq
@@ -1031,11 +1030,12 @@ def create_backup(
     # FUTURE-FIXME: there db_instance_id should be passed
     db_instance: models.Project | models.Task,
     Exporter: Type[ProjectExporter | TaskExporter],
-    logger: logging.Logger,
+    logger: Logger,
     cache_ttl: timedelta,
 ):
     try:
         cache_dir = db_instance.get_export_cache_directory(create=True)
+        db_instance.touch_last_export_date()
         db_instance.refresh_from_db(fields=['updated_date'])
         instance_timestamp = timezone.localtime(db_instance.updated_date).timestamp()