They were previously extended at last year's Women's 2025 Euro, the Men's 2024 Euro final and Women's Euro 2022 Final.
Pub opening hours were also extended for the 80th anniversary of Victory in Europe Day in May this year.
This extension would only apply to England and Wales as Scotland and Northern Ireland have separate licensing regimes.
The home secretary said: "Our nation's pubs are going into extra time. If any nation reaches the final stages, we will extend licensing hours."
Next year's tournament will be the first time a World Cup has been hosted by three nations.
England and Scotland will learn their group stage opponents on Friday at the finals draw in Washington DC.
Wales and Northern Ireland also have a chance of reaching the tournament when they compete in the play-offs, where a total of 16 teams will battle it out for four slots at the competition.
Michael Kill, CEO of the Night-Time Industries Association, welcomed the move to allow pubs to stay open later, saying: "We believe this consultation represents a positive step in ensuring that the hospitality industry can contribute fully to the nation's excitement and economic activity during such a landmark event."
Emma McClarkin, CEO of the British Beer and Pub Association, said: "The pub has and always will be the home of live sport and there's no better place to gather under one roof during moments of huge national significance and make memories."
Kate Nicholls, chair of industry group UKHospitality, said: "I'm pleased the government is once again looking at extended licensing hours... it can provide a real boost for hospitality businesses".
The consultation runs until January and a decision by the Home Office will be taken as soon as possible once responses have been reviewed.
