The Swiss are looking for victory by two goals to make it into the last 16, a result that could see European champions Spain out of the tournament.
Honduras still have an outside mathematical chance of progressing on goal difference if they win and Spain lose to Chile. Yet even in that scenario, Honduras would need to overturn a four-goal deficit on Spain.
Rueda said he wanted the squad and the media to change their mindset for the last group game.
"They (the media) all say Honduras is happy simply being in the World Cup. This is something we have to overcome and we haven't. The group has to demonstrate on the pitch that this is not the case," he told a news conference.
"I think this is a match of honour, of our dignity. We have to try and meet the expectations we have generated back home. We wanted to come here and play better. We haven't done very well so far."
Honduras lost both their previous games, to Chile and Spain, without scoring. "We are now going through difficult times as a national squad, this is painful and it is sad," Rueda said.
However, he said Thursday's surprise victory by Slovakia over world champions Italy showed that nothing was impossible.
"What we've seen today, Italy versus Slovakia, it teaches you a very good lesson in terms of footballing culture. I think Honduras has its own challenge and pride, we have not been able to express ourselves on the pitch."
The 53-year-old said he had a fully fit squad to choose from.
