The AIM-listed freight forwarder has Authorised Economic Operator status, something it says will be critical post the 29 March deadline.
Xpediator has a team working closely with transport associations and port authorities to plan ahead.
“Ultimately, the group's customers will need to understand and find solutions to continue delivering their goods,” it said.
Trading was strong in 2018 with revenues rising by 54% to £179mln helped by two acquisitions - Import Services Logistics and Anglia Forwarding – that added 18% to turnover and brought with them facilities in Felixstowe, Heathrow and Southampton.
Freight forwarding across the Baltics and Balkans were especially strong, while the pallet franchise in Romania continues to do well.
Stephen Blyth, chief executive, said: “The business is performing well, growing both organically and through acquisition where there is a good pipeline of opportunities.”
Shares rose 5% to 48.5p.