The Clarets are currently flying high at the top of the Sky Bet Championship and are yet to lose on their own patch this season.
Winger Jarvis knows a number of the Burnley players from his time with Wolves and the 27-year-old is expecting a tough test as the Hammers attempt to move a step closer to Wembley.
"Burnley have done extremely well this season," he said.
"I know quite a few of their players so I know what they are all about. I know Sam Vokes, Michael Kightly, David Jones and Jason Shackell so it will be like friends reunited. But it will be a very tough game.
"A cup tie is always a great game to play in. We're away so hopefully we will have a good turnout by the fans and give them something to shout about by getting through."
Jarvis came on as a substitute in Sunday's goalless draw at Swansea and is expected to start against the Clarets.
He added: "I want to play in every game so I'm hopeful of playing on Tuesday night.
"It's a chance to try and impress the manager and prove that you should be playing every week.
"When you get a chance you really need to show what you can do and hopefully get yourself in the team."
Jarvis believes the Hammers have a genuine shot at silverware this season - if they can see off the Clarets.
He added: "Of course, because if you can get a kind draw and get a home tie then you can really see where you can go."
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