diff --git a/cpp/src/arrow/csv/reader.cc b/cpp/src/arrow/csv/reader.cc
index ff2bb7608c835..30fc0bc6aca44 100644
--- a/cpp/src/arrow/csv/reader.cc
+++ b/cpp/src/arrow/csv/reader.cc
@@ -1112,18 +1112,18 @@ class AsyncThreadedTableReader
  protected:
   Future<std::shared_ptr<Buffer>> ProcessFirstBuffer() {
     // First block
-    auto self = shared_from_this();
     auto first_buffer_future = buffer_generator_();
-    return first_buffer_future.Then([self](const std::shared_ptr<Buffer>& first_buffer)
-                                        -> Result<std::shared_ptr<Buffer>> {
-      if (first_buffer == nullptr) {
-        return Status::Invalid("Empty CSV file");
-      }
-      std::shared_ptr<Buffer> first_buffer_processed;
-      RETURN_NOT_OK(self->ProcessHeader(first_buffer, &first_buffer_processed));
-      RETURN_NOT_OK(self->MakeColumnBuilders());
-      return first_buffer_processed;
-    });
+    return first_buffer_future.Then(
+        [self = shared_from_this()](const std::shared_ptr<Buffer>& first_buffer)
+            -> Result<std::shared_ptr<Buffer>> {
+          if (first_buffer == nullptr) {
+            return Status::Invalid("Empty CSV file");
+          }
+          std::shared_ptr<Buffer> first_buffer_processed;
+          RETURN_NOT_OK(self->ProcessHeader(first_buffer, &first_buffer_processed));
+          RETURN_NOT_OK(self->MakeColumnBuilders());
+          return first_buffer_processed;
+        });
   }
 
   Executor* cpu_executor_;
diff --git a/cpp/src/parquet/arrow/reader.cc b/cpp/src/parquet/arrow/reader.cc
index 0739b828a0afe..80c21518eb3a1 100644
--- a/cpp/src/parquet/arrow/reader.cc
+++ b/cpp/src/parquet/arrow/reader.cc
@@ -1122,9 +1122,8 @@ class RowGroupGenerator {
     } else {
       auto ready = reader->parquet_reader()->WhenBuffered({row_group}, column_indices);
       if (cpu_executor_) ready = cpu_executor_->TransferAlways(ready);
-      auto cpu_executor = cpu_executor_;
       row_group_read =
-          ready.Then([cpu_executor, reader, row_group,
+          ready.Then([cpu_executor = cpu_executor_, reader, row_group,
                       column_indices = std::move(
                           column_indices)]() -> ::arrow::Future<RecordBatchGenerator> {
             return ReadOneRowGroup(cpu_executor, reader, row_group, column_indices);