diff --git a/podcasts/antennapod.py b/podcasts/antennapod.py
index faf4b7f..e44b127 100644
--- a/podcasts/antennapod.py
+++ b/podcasts/antennapod.py
@@ -259,6 +259,7 @@ class Stats:
     downloads_bytes: int = 0
     downloads_created: int = 0
     downloads_missing: int = 0
+    downloads_offered: bool = True
     backup_date: datetime | None = None
     seconds: float = 0.0
 
@@ -291,11 +292,13 @@ def _columns(db, table):
 
 
 class AntennaPodImport:
-    def __init__(self, user, path, backup_date, global_auto_download=False):
+    def __init__(self, user, path, backup_date, global_auto_download=False, offer_downloads=True):
         self.user = user
         self.path = path
         self.backup_date = backup_date
         self.global_auto_download = global_auto_download
+        # False: the app doesn't offer AntennaPod's downloads (they stay in AntennaPod).
+        self.offer_downloads = offer_downloads
         self.stats = Stats(backup_date=backup_date)
 
     def run(self, dry_run=False):
@@ -676,7 +679,8 @@ class AntennaPodImport:
             entries.append({'episode_id': ep_id, 'size': size})
         st.downloads = len(entries)
         st.downloads_bytes = sum(e['size'] for e in entries)
-        settings.import_downloads = entries
+        st.downloads_offered = self.offer_downloads
+        settings.import_downloads = entries if self.offer_downloads else []
         settings.save(update_fields=['import_downloads'])
 
 
@@ -723,7 +727,7 @@ def summary_lines(st, username, path, dry_run, global_auto_download):
         + (f'; kept sorted by "{st.keep_sorted}"' if st.keep_sorted else ''),
         f'Inbox:      {st.inbox_before} before, {st.inbox_after} after',
         f'Downloads:  {st.downloads} on the phone in AntennaPod ({st.downloads_bytes / 1_000_000:.0f} MB) '
-        f'-> offered to the app for download'
+        + ('-> offered to the app for download' if st.downloads_offered else '-> not offered (--no-downloads)')
         + (f' ({st.downloads_created} episodes created for them)' if st.downloads_created else '')
         + (f'; {st.downloads_missing} not found (feeds not imported, no audio URL)' if st.downloads_missing else ''),
         f'Created feeds ({len(st.created_titles)}):',
diff --git a/podcasts/management/commands/import_antennapod.py b/podcasts/management/commands/import_antennapod.py
index 8579391..4d61207 100644
--- a/podcasts/management/commands/import_antennapod.py
+++ b/podcasts/management/commands/import_antennapod.py
@@ -25,6 +25,8 @@ class Command(BaseCommand):
                             help='Do everything inside a transaction that is rolled back, print the summary')
         parser.add_argument('--global-auto-download', choices=('on', 'off'), default='off',
                             help="Auto-download for feeds that use AntennaPod's global setting (default off)")
+        parser.add_argument('--no-downloads', action='store_true',
+                            help="Don't offer AntennaPod's downloaded episodes to the app (they stay in AntennaPod)")
         parser.add_argument('--backup-date',
                             help='When the backup was made (ISO date/time, UTC if no zone); default: the file date. '
                                  'diora changes after it win over the backup.')
@@ -50,7 +52,8 @@ class Command(BaseCommand):
 
         global_auto_download = options['global_auto_download'] == 'on'
         try:
-            stats = AntennaPodImport(user, path, backup_date, global_auto_download).run(dry_run=options['dry_run'])
+            stats = AntennaPodImport(user, path, backup_date, global_auto_download,
+                                     offer_downloads=not options['no_downloads']).run(dry_run=options['dry_run'])
         except AntennaPodImportError as e:
             raise CommandError(str(e))
         for line in summary_lines(stats, user.username, path, options['dry_run'], global_auto_download):
diff --git a/podcasts/test_antennapod.py b/podcasts/test_antennapod.py
index 124870b..9df20b8 100644
--- a/podcasts/test_antennapod.py
+++ b/podcasts/test_antennapod.py
@@ -498,6 +498,15 @@ class DownloadImportTests(ImportTestCase):
         self.assertEqual(self.offered(), [])
         self.assertIn('Downloads:  0 on the phone in AntennaPod (0 MB)', out)
 
+    def test_no_downloads_offers_nothing(self):
+        self.episode(self.feed, 'known')
+        self.ap.item(self.ap_feed, 'known', read=0, downloaded=1, size=20_400_000)
+        self.run_import()
+        self.assertEqual(len(self.offered()), 1)
+        out = self.run_import('--no-downloads')
+        self.assertEqual(self.offered(), [])
+        self.assertIn('Downloads:  1 on the phone in AntennaPod (20 MB) -> not offered (--no-downloads)\n', out)
+
     def test_one_entry_per_episode(self):
         ep = self.episode(self.feed, 'g')
         self.ap.item(self.ap_feed, 'g', read=1, downloaded=1, size=10)