The game is live on MLB Network and MLB.com on Sunday at 4 p.m. PT.
Recently promoted to Class A Advanced San Jose after beginning the season with Class A Augusta, Bickford has a combined 5-4 record. That includes a 2-0 mark with a 1.59 ERA in three starts for San Jose.
Bickford, who turns 21 on Sunday, was the Giants' No. 1 selection (18th overall) in last year's Draft. MLB Pipeline has ranked him third among San Francisco's prospects.
Romo, San Francisco's top setup reliever, made some of his injury rehabilitation appearances with San Jose and saw Bickford start twice.