Speaking at a parliamentary questions session, Oliver Dowden, Culture, Media and Sport Secretary, said: “I personally have been in talks with the Premier League with a view to getting football up and running as soon as possible in order to support the whole football community.
“But of course, any such moves would have to be consistent with public health guidance,” he said.
But three London clubs, Arsenal, West Ham and Tottenham Hotspur, along with Brighton, have already re-opened their training grounds, allowing limited return to training while observing social distancing protocols.
Those clubs say that players will only be using outdoor field facilities for individual work and will not take part in team activities.
Premier League clubs will hold their latest conference call on Friday as they continue to evaluate various options for finishing the season but a re-start of matches is not expected until June at the earliest.
Last week the league said it was “working through complex planning scenarios” and there are a number of practical hurdles that they face.
With the ban on mass public gatherings likely to be one of the last restrictions to be removed, rescheduled games could be held behind closed doors, possibly at neutral venues.