England top Group H by one point, with two games remaining, but the only way to guarantee qualification is by beating Montenegro, then Poland four days later.
"No," was Hodgson's response when asked if he is worried about failing to qualify, with his team having recorded group victories over San Marino and Moldova."We have never discussed not qualifying. We are convinced we are a good team, that we are good enough to qualify and that we are going to do the job.
"Words like fear or anxiety or concern haven't really crossed our minds or certainly haven't crossed our lips. There will be lots of good teams that don't get there but I am convinced that it won't be us."
All of Hodgson's squad have trained and are available, although he is without Ashley Cole, Theo Walcott and Alex Oxlade-Chamberlain, who were ruled out before the squad met on Monday.
"We lacked a cutting edge in Ukraine, but everyone is available now," said England captain Steven Gerrard of potential strike pairing Daniel Sturridge and Wayne Rooney - who have scored 13 goals between them this season. "Everyone knows the form that they are in. If they are selected I have every confidence that they can do the damage."
In March, the sides drew 1-1 in Montenegro. While England have a full squad, Montenegro's captain, Mirko Vucinic, Lille centre-back Marko Basa and midfielder Miodrag Pekovic are all injured. Miodrag Dzudovic may also miss out.
"I'm sorry we are not complete. I was planning to play one great match," said their manager, Branko Brnovic. "Our every single player is looking forward to it. You cannot play every day at Wembley."