Wisdom enjoyed a successful spell on loan at Derby County last season and Rodgers is ready to loan him out again so that he can continue his development.
West Brom are in the market for a new right-back after seeing Billy Jones and Steven Reid leave the Hawthorns this summer, and they have moved to agree a deal for England Under 21 international Wisdom.
Speaking after Liverpool's 2-1 pre-season win over Preston, Rodgers confirmed Wisdom was set to link up with the Baggies.
"After today, Andre is going to go on loan to West Brom," Rodgers told Liverpool's official website. "He had a very successful period at Derby last year, he did very well under Steve McClaren.
"He now has the opportunity to go to another very good coach in Alan Irvine, who I know from my youth days. He is an excellent coach and West Brom are an excellent club.
"West Brom have been a rising club for the last few years in the Premier League. He'll go there and it will be another chance for his education and development to continue.
"He'll join up with them sooner rather than later and spend the season there on loan. That will be another step for him in his development, playing regularly in the Premier League."