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
The Duke of Cambridge has called England Women footballers to wish them well in their World Cup semi-final against Japan
Stories continue to emerge of the heroism and compassion of Tunisians who tried to help in the wake of the Sousse attack.
Thunderstorms continue across parts of northern England and Scotland tonight.