The next episode will drop on Tuesday October 4, the streaming giant has announced.
The period of royal mourning ended earlier this week, with the monarchy and its households returning to official duties.
A message on the Archetypes Spotify page said: “Regularly scheduled episodes will resume Tuesday, October 4.”
Three full episodes of the audio series have been released since its launch on August 23.
Conversations with veteran tennis player Serena Williams, pop star Mariah Carey and actress, writer and producer Mindy Kaling have featured so far.
Meghan and husband Prince Harry signed a lucrative deal with Spotify to host and produce podcasts, estimated to be worth around £18million, in late 2020.
The Duchess of Sussex was due to be honoured as part of a celebratory US women’s event, but will not attend it, also out of respect for the late monarch.
The honourees, which also include Oprah Winfrey and Malala, will feature on the cover of US outlet Variety’s Power of Women special edition, with an event due to take place on Wednesday September 28.
Variety said Meghan’s cover would also be postponed.
It comes as extracts are released of Valentine Low's book, due for publication in October.
Writing in 'Courtiers: The Hidden Power Behind the Crown', he claims that, during the initial deliberations on January 8, 2020, Queen Elizabeth II wanted all four royal households to work together on a Megxit solution.
Meetings were held at Clarence House before they were moved to Buckingham Palace while Prince William's private secretary, Simon Case, was also involved.
Five options were allegedly discussed, including giving the Sussexes a month off each year for their own activities.
An alternative was the idea that they could take on fewer engagements and spend most of their time doing other things.
It was taken as a given that blanket rules on not making decisions for financial or material gain would apply.
Mr Low quotes a palace insider as saying: "I think Meghan thought she was going to be the Beyonce of the UK.
"Being part of the Royal Family would give her that kudos. Whereas what she discovered was that there were so many rules that were so ridiculous that she couldn't even do the things that she could do as a private individual, which is tough."
Another said the Duchess would be unable to fit the model of a working royal, with the palace unable to accept "who she wanted to be".
Mr Low writes that it was Queen Elizabeth II who had the "very clear view: you can't be in and out".
He adds that any chance of "compromise" was taken off the table by the late monarch.
Meghan Markle
KAI PFAFFENBACH
Queen Elizabeth II died in September
Andrew Milligan