diff --git a/cpp/src/arrow/acero/source_node.cc b/cpp/src/arrow/acero/source_node.cc
index 888f6e23c130..ed3723d249da 100644
--- a/cpp/src/arrow/acero/source_node.cc
+++ b/cpp/src/arrow/acero/source_node.cc
@@ -408,7 +408,7 @@ struct SchemaSourceNode : public SourceNode {
 struct RecordBatchReaderSourceNode : public SourceNode {
   RecordBatchReaderSourceNode(ExecPlan* plan, std::shared_ptr<Schema> schema,
                               arrow::AsyncGenerator<std::optional<ExecBatch>> generator)
-      : SourceNode(plan, schema, generator) {}
+      : SourceNode(plan, schema, generator, Ordering::Implicit()) {}
 
   static Result<ExecNode*> Make(ExecPlan* plan, std::vector<ExecNode*> inputs,
                                 const ExecNodeOptions& options) {