diff --git a/test_runner/regress/test_remote_storage.py b/test_runner/regress/test_remote_storage.py
index ec83d6eb9e..07f01bf78e 100644
--- a/test_runner/regress/test_remote_storage.py
+++ b/test_runner/regress/test_remote_storage.py
@@ -66,8 +66,9 @@ def test_remote_storage_backup_and_restore(
     env.pageserver.allowed_errors.append(".*Failed to get local tenant state.*")
     # FIXME retry downloads without throwing errors
     env.pageserver.allowed_errors.append(".*failed to load remote timeline.*")
-    # we have a bunch of pytest.raises for this below
+    # we have a bunch of pytest.raises for these below
     env.pageserver.allowed_errors.append(".*tenant already exists.*")
+    env.pageserver.allowed_errors.append(".*attach is already in progress.*")
 
     pageserver_http = env.pageserver.http_client()
     pg = env.postgres.create_start("main")
@@ -134,7 +135,7 @@ def test_remote_storage_backup_and_restore(
     env.pageserver.start()
 
     # ensure that an initiated attach operation survives pageserver restart
-    with pytest.raises(Exception, match="tenant already exists"):
+    with pytest.raises(Exception, match=r".*(tenant already exists|attach is already in progress).*"):
         client.tenant_attach(tenant_id)
     log.info("waiting for timeline redownload")
     wait_until(
diff --git a/test_runner/regress/test_tenants_with_remote_storage.py b/test_runner/regress/test_tenants_with_remote_storage.py
index 8fd28cf53e..5024b9b782 100644
--- a/test_runner/regress/test_tenants_with_remote_storage.py
+++ b/test_runner/regress/test_tenants_with_remote_storage.py
@@ -339,10 +339,7 @@ def test_tenant_redownloads_truncated_file_on_startup(
     env = neon_env_builder.init_start()
 
     env.pageserver.allowed_errors.append(
-        ".*Redownloading locally existing .* due to size mismatch.*"
-    )
-    env.pageserver.allowed_errors.append(
-        ".*Downloaded layer exists already but layer file metadata mismatches.*"
+        ".*removing local file .* because it has unexpected length.*"
     )
 
     # FIXME: Are these expected?