Sports minister Hugh Robertson has insisted the warning on legislation to football was no empty threat.
He said: "We welcome the report from the select committee which shows the will there is across Parliament for football to modernise and change for the better.
"We have been clear that we want the football authorities to carry out the reforms they promised by the start of the 2013/14 season - most notably around improved governance and diverse representation at the FA, the development of a licensing system and greater financial transparency.
"If football does not deliver then we will look at bringing forward legislation."
More top news
Scotland finally injected some momentum into their World Cup preparations as they beat Italy 48-7 triumph at Murrayfield.
Labour leadership candidate says Britain playing its role in the migrant crisis would help Cameron secure the promised reforms in Brussels.
Ten people have been taken to hospital and another two treated for injuries after a bus crashed into a tree in east London.