diff --git a/go/arrow/flight/flightsql/driver/driver_test.go b/go/arrow/flight/flightsql/driver/driver_test.go
index 3ec8533979a32..4449b390974a7 100644
--- a/go/arrow/flight/flightsql/driver/driver_test.go
+++ b/go/arrow/flight/flightsql/driver/driver_test.go
@@ -812,6 +812,17 @@ func (s *MockServer) DoPutPreparedStatementQuery(ctx context.Context, qry flight
 		return fmt.Errorf("parameter schema: %w", arrow.ErrInvalid)
 	}
 
+	// GH-35328: it's rare, but this function can complete execution and return
+	// closing the reader *after* the schema is written but *before* the parameter batch
+	// is written (race condition based on goroutine scheduling). In that situation,
+	// the client call to Write the parameter record batch will return an io.EOF because
+	// this end of the connection will have closed before it attempted to send the batch.
+	// This created a flaky test situation that was difficult to reproduce (1-4 failures
+	// in 5000 runs). We can avoid this flakiness by simply *explicitly* draining the
+	// record batch messages from the reader before returning.
+	for r.Next() {
+	}
+
 	return nil
 }