Even though Arsenal are favourites to lift the famous piece of silverware at Wembley Stadium on May 17, Livermore believes that Hull have what it takes to spring a surprise.
"It is a fantastic opportunity for us to make history and in the FA Cup anything can happen," he told the Hull Daily Mail.
"We saw in the first semi-final Wigan didn't make it straightforward and then you look at our game, we were the same.
"Hopefully, we can cause an upset, but we have to play them on Sunday first and that is all we are focused on."
Hull welcome Arsenal to the KC Stadium in the Premier League on Saturday.