"I am saying this time and again that I never requested or recommended travel documents for Lalit Modi," she said in a string of tweets in response to questions.
"I left this to the UK government to decide under their own laws and regulations. And that is what they did," she said.
"As a minister I am accountable to parliament. That is the only forum to inform the nation."
She added: "I help people every day. That too on a single tweet."
Sushma Swaraj's reported help to Lali Modi has paralysed parliament, with the opposition demanding her resignation and an investigation.
On Saturday, she said she had agreed to a debate in parliament on the very day it opened for the ongoing monsoon session.
She added that Congress members were not allowing the debate to take place.
Asked if she had telephoned British politician Keith Vaz to allow the British government to let Lalit Modi travel to London, she said: "This is absolutely false."