David Moyes hopes to make at least four signings ahead of Monday's transfer deadline.
The Everton manager secured his second major summer acquisition on Tuesday, tieing up a five-year deal for Russian international midfielder Diniyar Bilyaletdinov.
> Bilyaletdinov Joins Everton
> Bilyaletdinov Exclusive
And, speaking at a press conference ahead of Thursday's Europa League play off second leg against Sigma Olomouc, Moyes said he is confident Everton are making headway in their pursuit of additional new faces.
"I would be disappointed if we didn't get at least four, maybe more," he said.
"We've made quite a bit of progress I feel and maybe I'll be able to announce something shortly, but not yet.
"The job is to try and make it [the squad] stronger every year and that's what we'll aim to do."
Everton manager David Moyes has revealed his dream of guiding Everton to European glory.
The Scot, who led the Blues to the last 16 of the UEFA Cup in 2008, takes his team to Sigma Olomouc on Thursday with a place in the Europa League group stage at stake.
A 4-0 lead from last week's first leg means Everton are firm favourites to progress - something Moyes feels is essential if Everton are to become a force on the continent.
Having also guided the Club to an FA Cup final and successive fifth-place finishes in the Premier League, the Blues boss says sustained success in Europe could prove the final step towards regular outings in the Champions League.
"European football has been important for me," Moyes said in an exclusive interview with evertonTV. "I've always thought it's part of my development, part of the development of the Club and part of the team's development.
"For me it's about getting Everton Football Club back to where they were. Everton were up there and winning cups in Europe.
"I think what we have to do before we talk about the Champions League is be regulars in the Europa League. If you're getting regularly into the Europa League, sometime you'll get in the Champions League. That's what we're waiting on.
"If we're not getting into the Europa League then it's a long, long way to the Champions League. When we do get it we need to have had the experience so we can get in [to the group stages].
"A few years ago we got Villarreal and didn't make it through that. For us, we need to try and get ourselves in the group stages of that and obviously it changes the financial world as well if we can do that."
Moyes is well aware of Everton's memorable night in Rotterdam in 1985 when a 3-1 win over Rapid Vienna secured the Club's only European trophy - the Cup Winners' Cup.
It's an achievement which made the members of the team legends of the Goodison terraces and Moyes fully understands why European glory has such a high standing among fans.
As a young footballer coming through at Celtic, Moyes was thrown in to a European Cup clash with Juventus just weeks after making his full debut, beginning a life-long love affair with continental competition.
"I played for Celtic against Juventus in Turin," he recalls. "It was a great team and I've got great memories of it.
"We, unfortunately, went out over the tie but the following year we played against Ajax and Johan Cruyff but we had a great team and we went through.
"So I've had a few big games in Europe and enjoyed them - if you play at Celtic Park on a European night it's something special. That's something I want at Goodison."
Subscribers can see David Moyes' full pre-match press conference, plus exclusive interviews with the manager and midfielder Tim Cahill on evertonTV now.
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