diff --git a/tools/perf/builtin-inject.c b/tools/perf/builtin-inject.c
index bc5259d..b9d6306c 100644
--- a/tools/perf/builtin-inject.c
+++ b/tools/perf/builtin-inject.c
@@ -820,7 +820,7 @@
 		inject->tool.ordered_events = true;
 		inject->tool.ordering_requires_timestamps = true;
 		/* Allow space in the header for new attributes */
-		output_data_offset = 4096;
+		output_data_offset = roundup(8192 + session->header.data_offset, 4096);
 		if (inject->strip)
 			strip_init(inject);
 	}