Speaking after he had completed his switch, the former England international admitted that he was looking forward to playing regular football again.
"It's a very good opportunity for me at a time that I have not been playing. It's a chance for me to play," he is quoted as saying by the club's official Twitter account. "I've heard lots of positive things about Gus and his style and the whole package here at #BHAFC. It is very exciting."
Manager Gus Poyet added: "These opportunities don't come along very often so we took it and we hope to have him ready for Saturday."
Upson joined Stoke from West Ham United in 2011.