[2] Shortly after he was offered a place at Ipswich Town's academy where he played alongside later-England international Darren Bent.

After releasing Lee-Barrett, Coventry City manager Iain Dowie revealed that he was impressed with his "attitude and professionalism" and wished him all the best.

[12] On his debut Lee-Barrett performed well against Newcastle, making some impressive saves and keeping a clean sheet in the half that he played.

[13][14] After playing Harlepool's first game of the season, a 2–1 loss to Luton Town, he was dropped, with Danny Wilson picking Jan Budtz over him for the Pools next fixtures.

Lee-Barrett covered first-choice goalkeeper Richard Wright and was included in the squad that travelled to West Brom the next day.

[17] He made his debut for Ipswich on 29 November against Cardiff City, coming off the bench in the 25th minute for the injured Richard Wright.

[19] On 16 August 2013, he made the move to Millwall covering for Stephen Bywater and Andy Marshall after David Forde had picked up an injury.

[20] On 24 October 2013, he signed a short-term contract with Bolton Wanderers to provide competition for Andy Lonergan after both Ádám Bogdán and Jay Lynch had been ruled out of action with knee and back injuries respectively.

Lee-Barrett is the cousin of Liam Barrett who also played in Ipswich Town's youth team and who now runs U.S Sports Scholarships, a company that helps place student-athletes at American universities.