The New Zealand-born coach has made six changes to his starting line-up and will be looking to add to their three successive victories at Firhill.
"We were disappointed with the manner of our loss to Leinster, and as a group we've been working hard all week to address the areas where we didn't get it right," said Lineen.
"The players have shown great character and determination in the last couple of months, securing a number of excellent results in the process, and that's what we're looking for in spades come Friday night.
"Ulster are a tough proposition all over the field: we'll need to show real aggression in contact and appetite for the battle.
"The guys have delivered that many times already this season, so I've every confidence they'll put in a much-improved performance."
Samoa World Cup winger David Lemi makes his Glasgow debut in a backline where winger Federico Aramburu, outside centre Troy Nathan and scrum-half Henry Pyrgos also come in.
Lineed added: "We've freshened things up a little bit this weekend, while also being mindful of the need to have options on the bench for what is sure to be another tight match.
"David Lemi has already made clear his class in training, and he's the sort of player our fans will really take to. Henry has been progressing well and deserves a start, and it's also really pleasing to have Jon [Welsh] and Moray [Low] back fit and chomping at the bit for games."
Ulster coach Brian McLaughlin meanwhile has urged his side to be wary of the wounded Warriors despite winning five of their last six matches against Scottish opponents.
Their 22-3 triumph over Connacht in round eight ended a four-game losing streak in the RaboDirect PRO12 but they will be looking to make it four wins on the spin against the Warriors.
McLaughlin's side contains four personnel changes and one positional switch from the starting XV that was defeated 20-9 by Leicester in the Heineken Cup last weekend.
Andy Kyriacou and Robbie Diack come in at hooker and blindside flanker respectively, while Willie Faloon comes in at openside.
Craig Gilroy, who has played in all of Ulster's 10 games so far this season, is rested while the one positional change sees Simon Danielli move from full-back to the wing.
Mclaughlin said: "Whenever you're playing a Scottish side you've got to make your breakdown as accurate and as positive as possible.
"They'll be all over you like a rash so we've got to make sure that we're clinical in there and that we're producing the ball.
"The other thing is that with Scottish sides buzzing about all over the place, you've got to make sure you keep their forwards all in one place as much as possible.
"We've talked about varying little things, varying our lineouts and what we're doing off them. Hopefully that will help us as the game progresses."
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