Bale was outstanding in Wales' impressive 2-1 win over Montenegro in Cardiff on Friday night as Gary Speed celebrated his first win in charge of the national team.
The Tottenham winger missed Wales' home Euro 2012 qualifying defeat in March against England because of injury and he believes the win over Montenegro shows they are improving.
"We know it's going to be hard playing against England. But we are not in awe of them," said Bale.
"The Montenegro game showed the potential in this squad. The team's looking strong, we've a better squad now and we're definitely looking to a brighter future.
"We're always going to be massive underdogs whoever we're playing at the moment.
"But it's something that we are relishing.
"There were things we worked on in training that we didn't quite do in the England game at home.
"Yet we're progressing well and we showed what we're made of against Montenegro. I think this is a turning-point for us and, hopefully, we can build on this for the future.
"Beating Montenegro has shown how much improvement we've made.
"We controlled the game against a very good side. They're not ranked in the top 20 in the world for nothing. The win was something we needed."