Boaz Myhill, who has been restricted to just six appearances since his arrival at the Hawthorns last summer, would have been keen to impress the Baggies boss following Carson's ?2.1million departure to Turkish outfit Bursaspor earlier this month.
But the former Hull stopper would have done little to convince Hodgson that he's the long-term solution after seeing Bingham's aimless punt up field bounce over his head and into the back of the net.
The freak goal came in only the third minute of the game. Khari Stephenson made it 2-0 to San Jose just before half-time with Jerome Thomas pulling a goal back for West Brom in the 53rd minute.
All smiles: Bingham, who was making his debut for San Jose, is mobbed after scoring in the first half
Hodgson has been linked with a move for West Ham's Robert Green.
And Myhil's clanger in yesterday's friendly defeat is likely to persuade the West Brom manager to step up his pursuit for the former England international.
Baggies search for new No 1 after Carson completes ?2.1m move to TurkeyAt the double! Hodgson eyes Hammers stopper Green and Reading hotshot Long It was my decision to leave Fulham, says imminent Baggies arrival Gera