Fabio Capello's side moved three points clear at the top of Group G after defeating Bulgaria 3-0 on Friday while second-placed Montenegro slumped to a 2-1 defeat in Wales.
Those results mean that an England victory on Tuesday night would leave them needing just a point from their trip to Montenegro in October to seal a berth at Euro 2012.
England have a 100% away record in their qualifying group but have gone four games and 12 months without a win at Wembley - their worst run for almost three decades.
However, captain John Terry is adamant that sequence of results in front of their own fans is not a major issue.
He said: "I don't think there is any real logic to that. It is not becoming a concern although it will be nice to change that sooner rather than later.
"It chops and changes. It is just one of those things we are going through.
"Ideally tomorrow night it is important we pick up the three points and put in a good performance for the fans."
In what could be Capello's final competitive game at Wembley as England boss, the Italian is wary about the threat posed by Wales winger Gareth Bale.
"I watched the game they played against Montenegro. They played really well on the counter-attack and Bale is back on top form," Capello said.
"After his injury he only played at 80% of his capacity. Now he is really good.
"He is a really important player. He is so fast. It is difficult to stop him. We need to prepare something."
Wales manager Gary Speed, whose side picked up their first points in Group G with the win over Montenegro, said of the match: "It's going to be difficult. But if we can perform as we did the other night and keep our shape defensively, we can give the Welsh fans something to sing about.
"There's no fear, we're looking forward to it. England have got fantastic players, we know it's going to be tough but what a great opportunity."
Montenegro's loss in Cardiff has given Switzerland fresh hope of claiming a top-two berth and they can move to within three points of second place if they beat Bulgaria.
The Swiss are level on five points with Bulgaria but have a game in hand both on Lothar Matthaus' side and Montenegro.
Switzerland coach Ottmar Hitzfeld, who was Matthaus' manager at Bayern Munich, has named a fairly inexperienced squad for the visit of Bulgaria to Basel, but he said: ""I have full confidence in this young team. They are eager to prove themselves."
Switzerland vs Bulgaria
England vs Wales