Born in Bolton, Albinson joined Manchester City at the age of eight, progressing through the youth set-up to feature for the club in the Uefa Youth League and the FA Youth Cup squad which reached the final of 2015.

He gained experience of first-team football with Rossendale United and Warrington Town and also spent time at Bury before joining Blackburn Rovers where as part of the U23 squad he won PL2 Division 2 in 2018