The Bugis Station is part of Stage 1 of the Downtown Line, which concentrates in the Marina Bay area.
It will connect to stations like Promenade, Bayfront and Chinatown.
This part of the line will have six stations and will be ready next year.
Construction on it started five years ago, according to previous reports.
The Stage 2 line, which runs along the Bukit Timah corridor, will connect the Bugis station to Little India, Newton, Botanic Gardens and Bukit Panjang.
This part of the line will open in 2015.
The last stage of the Downtown line, Stage 3, will run almost parallel to the East-West Line, and will connect Chinatown station to MacPherson, Tampines and Expo.
Tunnelling work for this stage started just a week ago.
The entire Downtown Line is slated for completion in 2017 and is expected to cost $20.7 billion.
Construction at the site where the accident happened is jointly carried out by two companies - Soletanche Bachy and Koh Brothers.
They are responsible for constructing and completing the Bugis Station and the associated tunnels for Stage 1 of the Downtown Line, according to an accident statistic board at the site.
When contacted, both companies declined comment on Wednesday's incident.
Associate Professor David Chua from the National University of Singapore told The New Paper that it cannot be ascertained if this incident would delay the opening of the Downtown Line.
The academic from the Department of Civil Engineering, who teaches project management and site control, said: "The opening of the line depends on many factors. "We don't know if this incident will lead to a stoppage of the project, or if the other stations have been completed.
"We also don't know if the process of the construction is ahead of schedule. All these factors will influence the opening of the line."