Town are in flying form and, after two wins and two draws, they find themselves second.
After three successive draws, Avenue fell to their first defeat on Tuesday, losing 3-0 at Chorley.
Harrogate have not won at the Horsfall for 11 years, and manager Simon Weaver has demanaded a performance from his players.
He said: “We owe it to the fans, and to ourselves, to go to Horsfall and put a performance in.
“Last year, it was arguably our worst performance on the road, and we’re hungry to put that right.
“I know it means a lot to our supporters, but it means just as much to the lads.”
On the back of a comfortable 2-0 win at bottom side Gainsborough Trinity, Weaver has urged his team to pick up where they left off.
He added: “We’re going there on the back of a decent performance against Gainsborough.
“It’s important we carry on that momentum and carry on putting points on the board.”
Elsewhere, league leaders Halifax Town play host to Tamworth.
New signing Tom Denton is the top scorer in the division with six goals to his credit, having found the net in every game.