“Significant changes are now within reach, which can ensure even more people use our railways to get to games and improve the experience for all passengers on match days.
“To drive this forward, I will be meeting with the Premier League and rail industry shortly to ensure our focus is on delivering a safe, secure and fair railway that works for fans, passengers, the clubs and the operators.”
The changes would be most useful to supporters of Premier League teams because those are the games most likely to be changed at short notice.
However, the Government does want the scheme to apply to the Football League as well.
A DfT source said Mr Jones is a Leeds United fan – a team currently fighting for promotion in the Championship.
The source said: “Although he is hopeful they will get to the Premier League next season it is obvious that we will want to expand this to the Football League as well, following successful trials.”
The Premier League is currently drawing up an agreement to underpin the commitment to make travelling by train to football matches easier.