The goalkeeper is anticipating a tough game against Alan Pardew's Crystal Palace side this weekend.
The Hammers travel to Selhurst Park to take on Alan Pardew’s side on Saturday, and will be in good spirits having secured impressive away wins already against Arsenal, Liverpool and Manchester City.
The game against the Eagles will not be an easy one though, with the side enjoying a strong start to the campaign under Pardew and currently sitting fourth in the table.
And Randolph says they will need to replicate their away performances to far in order to get anything from the game.
“Crystal Palace have had a great start to the season and every team that has gone there has not found it easy,” he told whufc.com.
“We are going to need a performance like we have shown in our other away games in the league to get anything on Saturday. It is another very tough game.”
The goalkeeper has also admitted he wasn’t expecting to feature for the Hammers so soon.
The Republic of Ireland keeper’ was secured on a free transfer from Birmingham this summer, but was more than aware he would be playing second fiddle to number one Adrian at the club.
However, when the Spaniard received a red card early on in the campaign, and the subsequent three-match ban from it, Randolph was called upon to replace him, and he admits he wasn’t expecting to be involved so soon.
“I didn't expect to get a chance so soon after joining the club but I need to keep working hard in training and wait for my next chance,” he added.