The Irish shot-stopper joined the Hammers permanently in May after impressing on a loan spell from Portsmouth.
Republic of Ireland goalkeeping coach Alan Kelly believes Henderson has a bright future ahead of him.
“Stephen has obviously gone to West Ham with the intention of breaking into the first team
“He’s obviously gone there in the expectation that West Ham would get promoted and I think that Stephen will be looking at, if Rob Green goes, being the number one for next year.”