The Hammers face a tricky trip to Turf Moor in this evening's fourth-round tie, taking on a Burnley side riding high at the top of the Championship after a strong start to the season.
Jarvis believes that starting against Burnley tonight can provide the perfect platform to press home his claims for regular first-team football after coming off the bench in Sunday's goalless draw with Swansea City.
He told The Mirror: "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 show him 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.
"A cup tie is always a great game to play in. We're away so hopefully we will have a good turn out by the fans and give them something to shout about by getting through."
The 27-year-old scored his only goal of the season in West Ham's last League Cup tie - a 3-2 win over Cardiff City in the third round.