It follows bumper ratings for the six-part new drama, which aired on BBC One earlier this year.
Set in and around the corridors of power, Bodyguard told the fictional story of David Budd (Richard Madden), a heroic but volatile war veteran now working as a Specialist Protection Officer for the Royalty and Specialist Protection Branch (RaSP) of London’s Metropolitan Police Service.
When he was assigned to protect the ambitious and powerful Home Secretary Julia Montague (Keeley Hawes), Budd found himself torn between his duty and his beliefs. Responsible for her safety, could he become her biggest threat?
Bodyguard was written by Jed Mercurio and the first series also starred Gina McKee, Sophie Rundle, Pippa Haywood, Stuart Bowman, Vincent Franklin, Ash Tandon, and Nina Toussaint-White.
The BBC revealed last month that Bodyguard's finale episode of the series was watched by an audience of 17.1 million people once catch up was included.
The channel says that this makes it the UK’s most watched episode of any drama series across all channels since current records began, in 2002.
Richard Madden says early work on a potential series has begun.
"I'm going to meet Jed in a couple of weeks, to have a chat and see what's in his brilliant brain," he said this week. "So, I'm like, what can happen next? You know, with David.
"Because he had a hell of a couple months there. Where do you go with this guy?"
Richard speculated in an interview with Deadline: "I also thought, maybe it's going to be like American Horror Story where, in the second series, it's a whole different incarnation of it, and I'm a royal and Keeley [Hawes, his co-star] is on my protection team.
"And you get all the rest of the actors back, and we all do different things.
"But who knows what's in Jed's mind. I'm very keen to hear."
Speaking in September, Jed said of a possible second series: “We have been very fortunate with the success of series one.
“It’s probably fair to say we would probably approach any thoughts of a second series with the idea that it would create an opportunity for a third or fourth.”
However don't go expecting anything soon, with Jed saying work wouldn't begin until at least mid 2019.
He explained: “It’s all about the script development, the production schedule and a whole bunch of things that are all part of a giant jigsaw puzzle which have to be put together with any production.”
You can catch up on Bodyguard on BBC One's iPlayer here.