"The six points we have picked up have been vital but to really make it a special week for us we need to get our first win at home," he says.
"The boys are going into the game with lots of confidence - but that must show out on the pitch with our performance.
"Hopefully if we play well we will get the breaks that we deserve."
Fredi Kanoute is still out with a groin problem and Glenn adds: "Fredi is not going to make it and we are not sure how long he is going to be before he is fit again, though it will be sooner rather than later.
"We can only now work towards the game next weekend as Everton has come too soon.
"But Steve Lomas has completely recovered from the virus that he picked up; fortunately we have Eduoard Cisse at the club who is a valued member of the team and he had an excellent game on Wednesday.
"I couldn't be more delighted with what he brought to the team's performance at Loftus Road - he is a fine footballer.
"But Steve is fit again and you could argue that he was our top performer at Sunderland where he had a great game.
"So it is a difficult decision for me."
The choice of whether to restore Steve Lomas to the side is the main 'problem' for Glenn, who will leave Christian Dailly at right back although Sebastien Schemmel is fit again.
"Christian has done exceptionally well and had two fantastic games there. He has brought a solid look to the right side of our defence and coped very well with Kevin Kilbane last Saturday," he says.
"He didn't really give Boa Morte too much joy on Wednesday night, and he is a difficult player to play against with his pace.
"He has given us a solid look and now we come back home and we are looking for him to push on a little bit more to give Trevor support and get into the attacking third.
"But first thing's first; it is important that we defend well again because we have had two 1-0 victories and they have been borne out by our ability to keep two clean sheets.
"We have protected David in the way we should and when we have been pierced he has done the job that was required in keeping the ball out of the net.
"He hasn't had too much to do in the last couple of games, though.
"Ian Pearce has done exceptionally well in the last two games; he is strong and has defended in the way you want him to.
"He has been ever so patient in waiting for his chance to play central defence and in the last couple of games I couldn't have asked any more from him.
"We need the same sort of performance from him and Tomas against Everton.
"They have got two very good strikers in Radzinski and Kevin Campbell, not to mention the much talked about young Wayne Rooney.
"He has created such an impression and I think the whole country is aware of Wayne; his performances have really caught the eye and imagination of footballers around the country.
"He is an exceptional young talent and it is incredible that someone who has just turned 17 this week has a brain quick enough to play at Premiership level, because that is what it comes down to.
"Often that is what catches young players out because they are talented enough in their own age group but when they come into senior football where people are thinking that much quicker they normally can't cope.
"But he is more than coping - he is doing better than holding his own.
"I think he has got an excellent manager and assistant manager in David Moyes and Alan Irvine to guide him, look after him and keep his feet on the ground.
"Apparently he is a very down to earth young man and everything David is saying about Wayne is making sense to me."
Glenn took his players to the ground to train at the weekend as he looks to get the club's first win at home, and he says: "We went to Upton Park on Saturday morning, as we haven't been there for a couple of weeks, just to remind ourselves what it is like getting on to the pitch and zipping the ball around.
"We had a good 90 minutes there and went through a few things, so hopefully when we go back there tomorrow afternoon we will be able to perform the way that we can.
"We want to win in front of our own supporters who have been very frustrated this year, and rightly so - they have even been angry at times.
"The players are not at all happy that we haven't already won a game at home; hopefully our time is coming against Everton.
"It would really finish off a fantastic week if we can get these three points."
Glenn is baffled as to why West Ham have already won as many away games this season as they did last term, while also having lost as many at Upton Park as they did in the entire 2001-02 season.
"It is incredible and football should never ever surprise you - just look at a couple of results today.
"It is the reason people go to see the game - you don't know what is going to happen.
"The clever people like to think they do but the reality of it is they don't.
"That is professional sport and particularly football - it is a game of chance at times and we all need to get breaks to take advantage.
"Hopefully by putting on a good performance we will get the breaks that it deserves."
After the weekend there are games with Liverpool, Leeds, and Manchester United to come, and Glenn says: "We know in the back of our minds what is coming up but we take the view that we are playing an Everton team that took Manchester United to the last few minutes just recently before beating Arsenal at home.
"They are really on form, and they are well organised and fit so we know that it is going to be a really competitive match.
"You don't get time in football to enjoy your wins too long; if you sit back and take your eye off the ball you are in trouble again.
"I am fully focused about this game, and we are thinking about anything else other than Everton."