Burridge became one of a number of new signings from the lower leagues made by Second Division champions Sheffield Wednesday ahead of their First Division campaign.[8] He played only rarely in his first season with Wednesday,[9] and although the £2,000 proceeds of his sale helped Darlington financially, his absence significantly weakened their team and they were relegated in 1926.[10] By November 1927, he was playing more regularly for the first team, and the Derby Daily Telegraph assessed his strengths as "resolute tackling and robust defensive work".[11] In 1928–29, Burridge appeared twice as Wednesday won the League championship and contributed to their reserve team winning the Central League title.[9][12] In his last season with Wednesday, he again appeared twice as they retained their title,[9] and then joined Second Division Oldham Athletic for an undisclosed fee.[13]
A year later, he moved back into non-league football. By then playing at centre half, he captained Macclesfield to the 1931–32 Cheshire County League championship and appeared less frequently the following season as they retained the title.[14] After a season as a first-team regular with another Cheshire League, club, Hyde United,[15] Burridge made his debut for Hurst in a Cheshire League match against former club Macclesfield. He remained with Hurst as a player into the war years, making more than 100 appearances in all competitions,[2] and was appointed player-manager in 1935[16] and acting secretary in 1937.[2]
^"Locals in the fight for the English Cup". Evening Telegraph. Dundee. 8 January 1925. p. 11 – via British Newspaper Archive. Thus the usual League team is together, with Burridge and Scott. Burridge is the general utility man of the club, and can play either half-back or forward, while Scott has twice taken Brown's place at centre-forward in recent matches.
^"Football. Association. Darlington's elevation to the Second League". Yorkshire Post. 6 May 1925. p. 12 – via British Newspaper Archive. At a meeting of supporters of the Darlington Football Club last night, it was decided to organise a fund for the purpose of making a presentation to the players in appreciation of their achievement in gaining for the club promotion to the Second Division. The whole of the regular players of the first team will be included, together with Burridge for his services as reserve, and Mr. J. English, the trainer, and "Shy" Birch.
^"Player profiles: B". Macclesfield Town Football Club Archives. Macclesfield Town F.C. and Geoffrey Knights. Archived from the original on 27 April 2016. Retrieved 22 July 2014.