Three stores will reopen on Thursday (2 July) – Widnes, Burnley and Allerton Road, Liverpool.
Reduced teams have been working remotely since the UK was placed under coronavirus lockdown on 23 March.
The Scottish independent’s shops will reopen in phases, starting with “several” a week.
It had previously planned to start reopening stores from the end of June.
Barrhead president Jacqueline Dobson said: “We’re pleased to announce the gradual reopening of our network, which will commence this week with several of our English stores.
“Our approach to reopening has been cautious and well-planned: we have undertaken extensive risk assessments for each store to ensure we can offer a safe and healthy environment for our colleagues and customers.
“The past few months have been challenging as we’ve adapted to working remotely, but our Barrhead Travel team have been fantastic – I am so proud of everyone.”
Dobson added she had “every confidence” there was a strong future for high street travel agencies.
“The retail experience will look slightly different in the interim with social distancing measures and PPE present in stores,” she said. "However, now more than ever, holidaymakers will be looking for the reassurance a reputable travel agent can provide.
“Whether that’s via face-to-face consultations or video appointments, which have become part of daily life, experienced travel agents bring significant value and expertise to the holiday experience.”
Barrhead will reopen its stores in a phased manner, with the aim of opening several stores a week while the business continues to evaluate the landscape amid the coronavirus crisis.