The experienced striker joined the Robins on loan in late March on a deal until the end of the season from Notts County, who have already told the 30-year-old he will not offered a new contract next season.
Burgess' three goals in nine appearances, including a crucial header in the semi-final triumph over Torquay, have helped guide Cheltenham to within 90 minutes of League One football next season.
But the frontman knows he is also playing for his own livelihood and said: "If I play well at Wembley then my future will be looking bright. I've just got to see, I'm like every other out-of-contract player, there must be thousands. Every year it gets harder.
"The idea was to come to Cheltenham, play games and sort of put myself in the shop window but I want to do as well as I can for Cheltenham because they've done well for me, the gaffer has been good to me. So we'll play on Sunday, hopefully win and then see what happens from there. A couple of months ago I thought my season had ended. It is strange how football turns out."
Burgess has loved his time at Cheltenham and insists it is down to the club as to whether he gets the chance to pull on a Town shirt next season. He added: "You've got to ask the gaffer [Mark Yates] that one, I'm not entirely sure. It's hard for teams in the play-offs to sort anything out because you don't know what division you're going to be in. The ball's in their court, but I have certainly enjoyed myself."