Liverpool have made just one permanent signing this summer in Victor Muñoz, with Ronald Araújo's arrival from Barcelona only a loan.
Iraola has been desperate to add a winger throughout the window, with Paris Saint-Germain's Bradley Barcola top of his shortlist, though PSG's demand of £145million has forced Liverpool to weigh up alternatives. Two bids for Brighton's Yankuba Minteh have already been turned down, the latest of which was worth £60million.
Speaking after Sunday's dramatic 2-2 draw away to Newcastle United, Van Dijk said he retained full confidence in the club's recruitment plans.
"Everyone wants to see quality arrive regardless," the Liverpool captain said. "I fully trust the club and the board to make the right decisions, that's the only thing I can say. Let's see what they do."
The Dutchman was equally clear that responsibility for improving on last season ultimately rests with the players.
"Regardless of what happens, we are Liverpool and we have to give everything. For us, we have to show a reaction from last year. We have nothing to prove to the outside world, in my opinion. It is to ourselves. The way we train, the way we approach games, it is down to us to show a reaction," Van Dijk said.
"Last year it was very unacceptable, but that was last year. I don't want to talk about that — we are looking forward and looking to improve. Hopefully, next week it will be very close to what [Iraola] wants us to do."
Van Dijk added that he expects the squad to keep adapting to their new head coach's methods on the training ground rather than reacting to results in isolation.
"Like I say, we work on it every day," he said. "We do long hours on the training ground and that will only benefit all of us, including our loyal and trusted supporters. It is so early in the season that if we start panicking regardless of what could have happened today then we won't be in a good place.
"It is down to us to make sure we improve quickly, and that is what we try to do on the training ground. There were some good things, but also things that we have to improve. I think if we have to answer questions from the outside world, I don't think that's on us. What we have to do as players at Liverpool Football Club is be much better than we were last year. That is the responsibility everyone has to feel."
He also acknowledged the scale of change under way at Anfield since Iraola's appointment.
"Obviously, there are some changes that are happening in the club and that is clearly visible. Some players have left, some players have come to the club, and it is down to us to be as good as we can as soon as possible, and challenge on all four fronts, hopefully as soon as possible. I think it is absolutely normal in any type of profession or work that if you come in new and you have new plans and ideas that it takes a bit of time."
Liverpool return to Premier League action on Saturday against Nottingham Forest, having taken a point from their opening fixture at St James' Park courtesy of a Dominik Szoboszlai penalty deep into stoppage time.