[4] Born in Harrow, Bubb spent his early career with Hendon and Queens Park Rangers.

[1] Bubb later played non-league football for Chalfont St Peter, Beaconsfield SYCOB and Farnborough.

[11] He also spent a loan spell at Woking, and after leaving Aldershot, played in Belgium for Royal Antwerp.

[17] On 23 June 2016, Bubb joined National League South side Ebbsfleet United on a one-year deal.

[19] He made his debut the following day in Wealdstone's FA Trophy quarter final away to Billericay Town, where he scored a hat trick in a 5–2 win.