The Royal is heading off on his tour on November 20 and is unlikely to see his new girlfriend until he returns on December 4
The actress, who in her role as Rachel Kane in the legal drama once stripped to her knickers for a sex scene with screen boyfriend Mike, played by Patrick J Adams, started seeing Harry in June.
They have since managed to arrange several secret trysts in the UK and Canada.
But the prince is heading to the Caribbean on November 20 for a royal tour and, unless he manages to see Meghan beforehand, they are unlikely to see each other before the visit ends -on December 4.
A source said: “They are serious about each other and have been meeting up as much as possible when their schedules allow, travelling across the Atlantic.
“They are planning their next meeting for sooner rather than later.”
The prince, who has spoken many times about his desire to keep his girlfriends out of the spotlight, would not dream of inviting Meghan on the Caribbean tour, where he will be accompanied by scores of photographers and reporters covering the official visit.
Harry was at Meghan’s home in Toronto just over a week ago when news of their relationship broke. They managed to evade photographers on the Halloween weekend, despite attending a party together in the city’s Soho House with Princess Eugenie and her boyfriend Jack Brooksbank.
Meghan’s neighbours reported seeing blacked-out SUVs outside her apartment during Harry’s stay from October 28.
Earlier, it was reported that the 32-year-old prince went out with Burberry model Sarah Ann, 27, this summer, at around the time he was wooing Suits star Meghan.
BY VICTORIA MURPHY From Mirror UK
A source said: “They are serious about each other and have been meeting up as much as possible when their schedules allow, travelling across the Atlantic.
Meghan’s neighbours reported seeing blacked-out SUVs outside her apartment during Harry’s stay from October 28.
