Organisers said on Friday that the test event, set for mid March, was being rescheduled for late April but that the delay would not affect the Games competition.
World governing body, the International Cycling Union (UCI) said in a statement it was concerned by the development and noted the riders had based their training schedules on having a March test event.
“We’re naturally concerned that the velodrome construction in Rio is being further delayed and that the test event has also been delayed as a result,” it said.
“Our priority has to be the riders whose training and preparation schedules have for a long time been set around the Rio Games, relevant test events and the wider global cycling calendar.
“It is crucial that all parties work together to ensure the very best conditions for the athletes both ahead of and during the games and guarantee that they compete in world class settings.”
Rio organisers said the delay was needed to install the track, now planned for February.