The Hammers keeper says they are determined not to fall away after Christmas, like they did last season.
The Hammers have enjoyed a fine opening to the campaign which has seen them beat Premier League heavyweights Arsenal, Liverpool and Manchester City on the road.
They have also seen off Newcastle United at home to sit on 12 points from a possible 18, an almost dream start for Slaven Bilic after inheriting the managerial reins over the summer. Those away wins came on the back of impressive performances, but some have put the results down to luck, something Adrian is keen to deny.
“We're not there by chance or luck,” he told Marca.
“We are third because we deserve it are doing well: we won away at Arsenal (0-2) at Liverpool (0-3) and now Manchester City (1-2). [At City] everything went perfectly as we had planned. It is a great pleasure to get the three points at a difficult ground where no one had scored.”
A competitive squad determined not to fall away again
West Ham were busy this summer as Bilic brought in a number of fresh faces to develop the squad that Sam Allardyce left for him.
So far, the majority of those signings have made a positive impact, with Dimitri Payet making a flying start to his career in England, while the likes of Manuel Lanzini, Victor Moses and Pedro Obiang have also impressed in new surroundings.
And Adrian says they now have a competitive squad at their disposal, with the aim being to avoid dropping off as they did in 2014/15.
“It has become a very competitive team among which were already here, those who have come and the new coach” he added.
“The goal now is to keep up and not to fall as happened last year after Christmas. We will be a team that will give war.”