The Hammers have enjoyed a fantastic start to the season but their Spanish number one still sees room for improvement.
The Hammers have been guilty of starting slow in several matches this season and as a result have coupled their impressive away wins at some of the league’s biggest clubs with home defeats to the likes of Leicester and Bournemouth.
Their latest disappointment came against struggling Sunderland on Saturday, where a lethargic start saw Slaven Bilic’s men two goals down within 22 minutes.
A Carl Jenkinson strike just before half-time sparked a recovery and the Hammers assumed control after the restart, grabbing the equaliser but just missing out on a winner.
“The mentality must be to go for it from the start, not waiting for the other team to start playing,” said Adrian.
“Always we need to work on things, like starting well but we are scoring goals and winning games and that has to be a good start. Now we need to keep it going until the end.
“…I think we started really bad, we were sleeping and we can’t afford to concede two goals in the first half,” he added.
West Ham currently sit in sixth place – with four wins, two draws and three defeats from their first eight games – in what has been a great start to the season, but there will be a hint of frustration over the fact that it could have been even better.
Bilic has instilled a counter-attacking mentality in his side which has proven to be effective against the division's top sides, but less so against more evenly-matched teams where the onus is on the Hammers to take control of the game and he will need to find a solution if his team is to fulfill its potential.