However Bruce Moss, strategy director at eValue, said he expected all existing EU legislation will be enacted into UK legislation, limiting the impact on the sector.
Many robo-advisers offer a “guidance only” service, with the consumer making self-directed investment decisions.
This means possible delays in regulation as a result of Brexit will have little impact on them, he added.
“The only reason Brexit might slow the development of robo-advice would be if investment markets were to tumble; this would have the double impact of hitting the profitability of financial services businesses and damaging investor confidence.”
Mr Moss said: “Successful firms will not be distracted by Brexit, which is irrelevant to the development of game-changing robo-advice.”
David Harrison, managing partner of True Potential, said missing from the public debate around Brexit is a “positive vision and a readiness” to make the best of where we are.
“I view this as a chance to be masters of our own destiny now and to improve regulation versus getting bogged down in it,” he said, adding: “The entrepreneurial firms and advisers who innovate are the ones who will do well out of this."
Mr Harrison also said Brexit has been good for his business: "It might be a stretch to say we’d like a Brexit every week, but we certainly have seen no bad effects, and we’re very optimistic about the future."