In an Instagram post, founder Nisha Katona hinted that the primarily northern-based group could open in London in October.
It forms part of a wider expansion drive that will see Mowgli aim to build a steady pipeline of four new openings per year.
As previously reported, other cities currently being considered by Katona include Edinburgh, Brighton and Preston.
Katona, a former barrister, launched Mowgli in Liverpool in 2014.
The group currently operates 12 restaurants across the country, most recently opening a site in Cheshire Oaks.
Katona said: "Mowgli has swung to 12 restaurants now, created 500 jobs and raised nearly £1m for our house charities. This all started from and is still run by me and my superb team, from our little office in Liverpool - that is something that makes me so happy.
"Mowgli Cheltenham will open in August; the dogs and family have approved a possible site in London for October; Bristol will open early 2022; followed by Glasgow, Edinburgh, Brighton and Preston.
"I’m looking at Newcastle [and] Cambridge for 2023/24, but will continue to build at the steady rate of four sites a year as long as you want us."
Mowgli has been on the expansion trail since securing a £3.45m backing from private equity company Foresight Group in 2017.
Katona added: "I’m only signing the sites that I have hand-picked because they feel like home and always take my family pets and Ma to shortlist them… and the little kitten cuddling girl covered in chapati flour is how I still feel in my heart.
"This is as unbelievable for me as it might be for you. Wish us well as we build simply to enrich lives in the cities we go to."