diff --git a/src/_zkapauthorizer/tests/test_storage_protocol.py b/src/_zkapauthorizer/tests/test_storage_protocol.py
index bfaf5fe1ef2acb69a0b469b6c5cc97327541aa65..a267c0667f3fe1b3101ab9e5a7a9eb10d8091a32 100644
--- a/src/_zkapauthorizer/tests/test_storage_protocol.py
+++ b/src/_zkapauthorizer/tests/test_storage_protocol.py
@@ -436,7 +436,7 @@ class ShareTests(TestCase):
     @given(
         storage_index=storage_indexes(),
         sharenum=sharenums(),
-        size=sizes(min_value=2 ** 18, max_value=2 ** 40),
+        size=sizes(),
         clock=clocks(),
         leases=lists(lease_renew_secrets(), unique=True, min_size=1),
         version=share_versions(),
@@ -480,7 +480,7 @@ class ShareTests(TestCase):
     @given(
         storage_index=storage_indexes(),
         sharenum=sharenums(),
-        size=sizes(min_value=2 ** 18, max_value=2 ** 40),
+        size=sizes(),
         clock=clocks(),
         version=share_versions(),
         # Encode our knowledge of the share header format and size right here...