After spending his youth career with Houston Dynamo, Spencer signed for Scottish top division side Kilmarnock in the summer of 2017[1] but was released a year later without making a first team appearance.
[3] Spencer then returned to full-time football when he signed for Raith a short time later,[3] and having quickly agreed an extension to his initial one-year contract[4][5] he went on to play a role in their 2019–20 Scottish League One title win and promotion.
After missing most of the pre-season with a knee injury,[6] his debut in the Scottish Championship (which was delayed and shortened by the COVID-19 pandemic in Scotland, in addition to the previous campaign being ended early) came in October 2020 when he came off the bench in the first half and provided an assist in a 5–2 win over Queen of the South.
[7] He joined Falkirk in the summer of 2023, where he scored a penalty on the final day to complete an undefeated league winning campaign.
[1] As a result of his father's career path, Brad was born in London and spent some of his childhood living in southern England and the United States.