NSW Transport Minister Andrew Constance has admitted there's "a problem" with the rail network's ability to recover from major incidents and that the system relies on overtime.

Monday's planned 24-hour strike was blocked by the Fair Work Commission on Thursday, but a number of cancellations across the Sydney network delayed commuters on Monday morning.

This month, the Sydney train network was thrown into chaos after a large number of staff members called in sick, with platforms on CBD stations shut due to overcrowding and commuters faced major delays getting home.

Speaking on radio 2GB on Monday morning, Mr Constance said staffing issues should be resolved soon, but passed the blame for the inadequate resourcing to Sydney Trains and the chief executive Howard Collins.