Lambert joined Montego Bay United in September 2016, having previously played football at Glenmuir High School, where he won the 2012 daCosta Cup, and was named captain in his last year.

[1] Prior to joining MBU, he spent time on trial with Premier League club West Ham alongside compatriot Rodave Murray in 2016.

[2] He made his debut for MBU in November 2016, deputising for injured midfielder Dwayne Ambusley against Arnett Gardens.

[3] In spring/summer of 2017, Lambert spent the month of May on trial with Serbian side FK Vojvodina, but was unable to sign a professional contract due to European Work Permit complications.

Lambert was called up by Jamaica head coach Theodore Whitmore in February 2017, to play against the USA,[1][12] however he remained on the bench.