diff --git a/test_runner/batch_others/test_import.py b/test_runner/batch_others/test_import.py
index bea225bbc9..85509937f4 100644
--- a/test_runner/batch_others/test_import.py
+++ b/test_runner/batch_others/test_import.py
@@ -171,3 +171,12 @@ def test_import_from_pageserver(test_output_dir, pg_bin, vanilla_pg, neon_env_bu
     # Check it worked
     pg = env.postgres.create_start(node_name, tenant_id=tenant)
     assert pg.safe_psql('select count(*) from tbl') == [(num_rows, )]
+
+    # Take another fullbackup
+    query = f"fullbackup { tenant.hex} {timeline} {lsn}"
+    cmd = ["psql", "--no-psqlrc", env.pageserver.connstr(), "-c", query]
+    result_basepath = pg_bin.run_capture(cmd, env=psql_env)
+    new_tar_output_file = result_basepath + ".stdout"
+
+    # Check it's the same as the first fullbackup
+    assert os.path.getsize(tar_output_file) == os.path.getsize(new_tar_output_file)