Randolph played his part in helping the Hammers secure a draw against Liverpool and then crucial back-to-back victories over Burnley and Hull.
The Hammers keeper had to be at his best once again to keep the Hull forwards at bay and knows his team can perform to a much higher level.
But Randolph still feels his team-mates showed the character needed to clinch all three points and hopes it will give them the perfect confidence boost as they prepare for tough away games against Swansea and Leicester, before returning to face Manchester United at London Stadium over the busy festive period
Randolph said: “I think quite a bit of pressure has been taken off us. We had a tough run of games in December but now we are looking at the games going forward.
“We will take even more confidence from the seven points we have picked up.
“We are very happy with how the week has gone getting a point at Anfield and then two home wins.
“We have moved up the table quite a few place and everyone seems a lot happier than they were seven days ago.
“Hull hit the post three times and I made a couple of saves. We rode our luck but I get paid to make those saves and I am happy to do my bit for the team.”
I think quite a bit of pressure has been taken off us. We had a tough run of games in December but now we are looking at the games going forward.
Randolph is thrilled to be back in the starting line-up and says he will continue to work hard in training and show why is good enough to compete in the Premier League on a regular basis.
Randolph added: “I will continue to take it one game at a time and if I am picked to play I will do my best for the team.
“I don't know about proving myself. I just want to play well every time I go out there. If I am busy I suppose it looks better on me and gives me the chance to showcase what I can do.”