Wright, who spent the first half of the season on loan at Sky Bet League One side Coventry City, will remain at Huish Park until the conclusion of the 2016/17 campaign.
The 20-year-old scored twice in 13 appearances for the Sky Blues, rescuing a point with a last-minute equaliser against AFC Wimbledon as well as scoring in a 2-0 win over Rochdale at the Ricoh Arena.
A product of the Baggies academy, Wright spent time on loan at Kidderminster Harries and Torquay United last season in the Vanarama National League, scoring once in 12 appearances for Kiddy and three times for the Gulls in a little over 20 appearances.
After securing the striker’s services for the remainder of the season, Darren Way said: "Andre is someone that we’ve monitored now for the last few years. He’s played in a system at Coventry that has been similar to ours and plays in the same system for West Brom.
"He’s strong, athletic, has got very, very good technical ability and holds up the ball really well.
"We’re looking forward to working with him and thank Tony Pulis, Darren Moore and all the staff at West Brom for allowing this deal to happen."
Andre will wear the number 21 shirt during his time with the Glovers and will be available for selection for Saturday’s trip to Blackpool.
Everyone at Yeovil Town Football Club wishes Andre all the best during his time at Huish Park.