The Toffees travel to White Hart Lane on Sunday in sixth place, four points off the final Champions League qualifying spot.
Howard believes that Everton are capable of keeping pace with their rivals for a top-four finish and will rise to the challenge of facing Spurs.
He told the club's official website: "It will be tough at Tottenham on Sunday. They are fantastic and playing really well and it's a tough place to go but we've had some success down the years so we'll draw from that.
"Big players perform well under pressure, they thrive off it, that's why we're at this level and that's why we're not languishing in the middle or at the bottom and it's all to play for.
"I think that spurs us on and makes training a bit more competitive and tougher and hopefully that will give us the strength to push on down the stretch."