U.S. Vice President Joe Biden said on a Sunday talkshow that the recent killing of black teenager Trayvon Martin could spur Florida gun law debate.

Biden told CBS' Bob Schieffer in an interview aired on "Face the Nation" on Sunday that "it's important that people be put in a position where their Second Amendment rights are protected, but that they also don't, as a consequence of the laws, unintendedly put themselves in harm's way."

Florida's gun laws allow people to shoot in self-defense if they feel threatened. Biden, who was chair of the Senate Judiciary Committee for eight years, said that the Martin case underscores the need to ensure public safety in accordance with current gun laws.

"The idea that there's this overwhelming additional security in the ownership and carrying concealed and deadly weapons... I think it's the premise, not the constitutional right, but the premise that it makes people safer is one that I'm not so sure of," Biden said.

Martin, a 17-year-old teenager, was killed in February by a neighborhood watch volunteer when he was walking back to the house of his father's fiance.

The case got attention across America and many argued that race is a factor behind the killing, but the volunteer said he killed Martin in self-defense.