The Merseyside outfit have seen their Champions League hopes dashed following three games without a league win, but Tuesday's victory over Oldham Athletic saw them set up an FA Cup quarter-final home tie with Wigan Athletic.
The American goalkeeper does not believe that he and his teammates are showing their best at the moment, but believes that their campaign can still end triumphantly.
"I don't think we are firing on all cylinders," Howard told Evertonfc.com.
"At the moment, I think that's a good thing. We have advanced in the cup and have a home draw. And you look at the league table and we're still in the thick of it.
"We have to start doing the business but we are still in there. We don't have a large squad, so it's going to be about big players stepping up to the plate and producing when it matters."
The Toffees are currently sixth in the league table, five points behind Arsenal.