[12] In 2015, Jarvis auditioned and was cast to portray the character of Sebastian in William Oldroyd's debut feature film Lady Macbeth.

[13] Jarvis has starred in two stage plays directed by Richard Jones, the 2017 production of The Hairy Ape by Eugene O'Neill at Park Avenue Armory in New York and The Twilight Zone at the Almeida Theatre in London.

Adapted from the short story of the same name from the collection Young Skins by Colin Barrett, Calm with Horses was received positively, with critics praising both Nick Rowland's work as a debut director and Jarvis' performance as Douglas Armstrong.

[17] Following Peaky Blinders, Jarvis appeared in Nocturnal, Funny Face, The Evening Hour and Raised by Wolves.

[19] He was also cast as John Blackthorne, a leading role opposite Hiroyuki Sanada in FX's 2024 limited-series Shōgun, the second TV adaptation of James Clavell's best-selling novel of the same name.

[24] Jarvis' performance as John Blackthorne was described as a "force to be reckoned with" by IGN[25] and The Washington Post wrote that he "brilliantly channels" his role as the marooned English pilot in the historical drama.

In his review, Nick Clark wrote for the Evening Standard, "Jarvis is one of those actors who is not just chameleonic – anyone who has seen him in Calm with Horses and then Persuasion can attest to his powers of transformation – but always brings so much more to a role than just speaking the words in order.

"[27] Jarvis' upcoming projects are Australian prison drama Inside,[28] The Alto Knights, starring alongside Robert De Niro and directed by Barry Levinson,[29][30][31][32] and Ray Mendoza and Alex Garland's Warfare.