Galloway, a strident opponent of the Iraq war, said he was "completely bemused" by fresh allegations that he personally solicited and received eight oil vouchers from Saddam Hussein's regime between 1999 and 2003.
During sworn testimony in May the bombastic left-winger told a US Senate subcommittee investigating the oil-for-food scheme that he never benefited from the controversial programme.
Speaking on BBC radio Tuesday, Galloway said: "I did not lie under oath in front of the Senate committee."
He said he had not seen the latest allegations from the Senate Committee on Homeland Security and Government Affairs, which he accused of being "cavalier with any idea of process and justice".
Galloway added: "I'm still willing to go to the United States and still willing to face any charge of perjury in front of that Senate committee.
"I'm demanding that they charge me with contempt and with perjury, I'm demanding it.
"If a Senate committee can go on the international airwaves without putting this to you, without sending me an advance (copy) and accuse me of lying under oath in front of a Senate committee, then I demand they charge me with perjury - and I'll be on the next plane to face it."
In its report Monday, the Senate committee said it had obtained evidence since Galloway testified that he had personally solicited and received eight oil vouchers from the Saddam regime between 1999 and 2003.
It also said that both Galloway's now-estranged wife and a political campaign run by the British lawmaker received money generated by the oil allocations, and that Saddam's regime took 1.6 million dollars (1.3 million euros) in kickbacks in connection with the Galloway vouchers.