'They got lucky on their honeymoon,' an insider tells the US publication. 'They're so excited.'
Especially Harry, adds the source.
'Becoming a father is something he has talked about from an early age, and now that's actually happening. He's saying its a dream come true.'
'Harry and Meghan can't wait to be a proper family!'
According to In Touch's bombshell report, the Duke and Duchess of Sussex are over the moon about their double joy!
Earlier this year, a royal insider exclusively revealed to New Idea that the couple were expecting twins.
'That baby that is born first will be called Diana, and the second will be Elizabeth,' an insider tells.
In Touch claims it was actually Queen Elizabeth, Harry's beloved grandmother, that urged the pair to start a family as soon as possible.
'Meghan and Harry have been prodded by the Queen to start a family in the coming months,' a source told In Touch just before their May 19 wedding.
The pregnancy comes as a huge relief to Meghan, who just recently celebrated her 37th birthday.
'She was in a state of panic because she didn't want to disappoint Harry, the Queen and the entire Royal Family.'
According to an In Touch insider, 'The Queen shed a tear when Harry told her that she was going to be a grandmother again. She has known about the news for a while and is planning to make an official announcement in the upcoming weeks.'
And, Meghan's mother Doria was spotted boarding a plane at LAX to London just yesterday, prompting many to believe she is headed to help her pregnant daughter prepare for the new arrivals.
'She wants to be with her daughter during this special time,' adds the insider. 'And she'll stay with her until birth.'
It's not just the Queen and Doria who are thrilled with the news though, sister-in-law Kate Middleton is also over the moon!
'She's been advising Meghan on what lies ahead'.
However, despite the impending arrival being a huge time of excitement for the Duchess of Sussex, Meghan has made it clear to Harry that she is not going to become a full-time housewife.
'Charity work and fulfilling royal duties are right up there at the top of her list of priorities, and she's about sticking to her schedule despite being pregnant,' the source notes.
'She's turning to Kate for tips on how to deal with balancing royal life with being a mum.'
The Royal Family hasn't responded to In Touch's report.