WASHINGTON — Computer crashes should be giving way to insurance coverage — if the government’s diagnosis of its health care website is correct.

The Health and Human Services Department released a progress report on its effort get the troubled HealthCare.gov website on the mend. Administration officials said the worst of the online glitches, bugs and delays may be over.

“The bottom line — HealthCare.gov on Dec. 1 is night and day from where it was on Oct. 1,” said Jeff Zients, the White House’s troubleshooter tasked with making the website function properly.

Yet officials acknowledged more work remains on the website, which made its national debut two months ago with hundreds of software flaws, inadequate equipment and inefficient management. Federal workers and private contractors have undertaken an intense reworking of the system, but some users might still encounter trouble.

“There’s not really any way to verify from the outside that the vast majority of people who want to enroll can now do so, but we’ll find out at least anecdotally over the coming days if the system can handle the traffic and provide a smooth experience for people trying to sign up,” said Larry Levitt, a senior adviser at the Kaiser Family Foundation.

But, he added, HealthCare.gov is clearly working better than when it first went online. Its challenge now is to convince users who were frustrated during their first visit to give it another chance.