The Jags have yet to pick up three points at Firhill this season despite a decent start to the campaign.
A victory would also have the added bonus of allowing Thistle to leapfrog their Edinburgh visitors in the table.
Archibald said: "We've not won at home yet and we would like to do that.
"Performance is also important and we want to get a good performance under our belts.
"We can also go above Hibs as well. We are one point behind them at the moment."
A lack of cutting edge has been an issue for Partick this term but Archibald is confident the goals will come, especially if his strikers are given a helping hand.
He said: "We are creating the chances and it will come.
"Kris Doolan got a goal on Saturday and took it very well, albeit it was from a slip from the boy Anderson.
"Hopefully the other guys will chip in and help him out as well. It's not just about our strikers.
"Kris has got two goals already in the Premiership and I think he's only started five games so it's not a bad record to be honest.
"I think there are people with worse records than our strikers."
Hibs had endured a difficult start to the campaign but appeared to be back on track until last week's defeat to leaders Inverness.
Archibald said: "I think it will be a very close game.
"Apart from their result last weekend, they have been on a good bit of form.
"I've seen them a couple of times and they were like a different side from when I saw them earlier in the season.
"They look like they've got their confidence back."
Asked for his thoughts on Monday night football, Archibald added: "We don't play on a Saturday for another month so we better get used to it.
"It is a bit different; you change your days off and change different things but we are adjusting."