The 37-year-old Brazilian was clear on wanting to fight GSP but a little fuzzier about Jones in a media availability before UFC 154 on Saturday night.
But he has two bouts left on his existing UFC contract and a pair of super-fights would be a lucrative way to finish off the deal.
St-Pierre was 22-2 going into Saturday night's UFC 154 main event against interim title-holder Carlos (Natural Born Killer) Condit.
"My first goal is Georges," said Silva, adding he wanted to fight GSP at around 177-78 pounds — which would be in the middle between welterweight and middleweight. "The second goal? Maybe Jon Jones. This is not my decision, this is Dana's (UFC president Dana White's) decision."
Silva was in high spirits and spoke to the media in English, joking he was "Dana Black" when he took the podium.
Silva (33-4) has won all 16 fights in the UFC since making his debut in June 2006. Twelve of those fights have won him bonus cheques, the most in UFC history.
He won the middleweight title at UFC 64 in October 2006, defeating Rich Franklin. Silva has moved up to light-heavyweight three times in the UFC, beating James (The Sandman) Irvin, former 205-pound champion Forrest Griffin and, most recently, Stephan Bonnar.
His 10 title defences are also a UFC record.
Silva is currently on a 17-fight win streak dating back to a January 2006 disqualification loss outside the UFC to Yushin Okami.
Silva has been criticized in the past for toying with opponents. But he has also proved to be a savage finisher, stopping Vitor (The Phenom) Belfort with a front kick to the face and putting Griffin down with a jab.
At six foot two, he is much bigger than the five-foot-11 St-Pierre, prompting some to suggest that a super-fight with light-heavyweight champion Jon (Bones) Jones would be a more suitable matchup.
But pitting Silva against GSP, the promotion's biggest pay-per-view draw, is a lucrative matchup hard to turn down.
White has talked of holding a GSP-Silva fight in May at Toronto's Rogers Centre, Cowboys Stadium in Dallas or a Brazilian soccer stadium.