The problem was due to the shortage of cable modems, which, in turn, was due to a worldwide shortage of semiconductors and supply chain issues.
The company said on Tuesday it had informed retail service providers on 17 May that the recommencement date would "be determined by NBN Co's readiness to support Internet retailers and new customers".
When NBN Co last spoke about the HFC issue on 30 March, its chief customer officer Brad Whitcomb said: "We are confident that we will receive regular deliveries of new HFC modems in the weeks and months ahead to enable the resumption of new HFC connections from 24 May.
A company spokesperson said on Tuesday: "The global chipset shortage that caused the supply chain issues in relation to HFC modems remains ongoing and is impacting various industries.
"However, the company believes it has sufficient certainty from its modem supplier that supply chain issues will not prevent NBN Co from complying with relevant obligations to retailers in the near term.
"The company and its delivery partners have continued to connect premises occupied by medically vulnerable customers.
"And wherever possible, the company continues to reconnect HFC services for customers moving into premises that have been recently disconnected from the network, or where the disconnection date has passed and where no legacy service is available."