The former Colorado Rapids boss is still hopeful of an upset after the Hertfordshire side held Spurs to a goalless draw in the FA Cup fifth round at the Lamex Stadium
The Hertfordshire club forced a strong Spurs side to a replay as Harry Redknapp's men failed to find a way past the Stevenage defence at the Lamex Stadium.
And Smith is hoping the lowest placed team in the Football League remaining in the competition can capitalise on Spurs' tough upcoming fixture run-in.
"They've got a very tough schedule coming up," he told reporters.
"They've got Arsenal and Manchester United, with us plugged in somewhere in the middle."
Smith added: "We've got every chance. We'll go there with a lot of energy and belief."
Smith, who is yet to taste defeat in the three games he has been in charge of Stevenage since replacing Graham Westley, was impressed by his side's defensive display.
He continued: "When you are playing against a talented side you are going to have to absorb pressure. But I thought we defended magnificently.
"We had one or two half-chances we should have made a little bit more of - our dead ball situations are better than that. But, overall, the performance was outstanding. I'm overwhelmed. It's terrific."
Stevenage will now play Tottenham in a replay at White Hart Lane, with the winner facing Bolton at home in the quarter-final.