In a Twitter post on Tuesday, Ms Vine said the curtains were in fact "very stylish toile".
"Or at least I thought they were," she added in a post on Twitter. "Now they're just always going to be stilton."
It came after keen-eyed social media users had jovially commented on the curtains' appearance when Mr Gove shunned the traditional TV-background shot of a bookcase or plain wall during a video-link interview with the BBC earlier on Tuesday.
Ms Vine later took to Twitter again to offer fellow users of the platform a closer look at the fabric, which she said had been purchased a decade ago.
The light-hearted developments came before Mr Gove announced he had begun self-isolating after a family member showed symptoms associated with coronavirus.
Mr Gove said he was not displaying any symptoms himself and was continuing to work from home.
He is the latest in a string of high-profile politicians to announce they had been impacted by the virus, after Health Secretary Matt Hancock and Prime Minister Boris Johnson both contracted coronavirus in recent weeks.
Mr Johnson has since been taken to intensive care after struggling to shake off the symptoms brought on by the virus. Mr Hancock has made a full recovery.
