The Premier League season is set to restart on 17 June with Aston Villa v Sheffield United and Manchester City v Arsenal.
A full round of fixtures would then be played on the weekend of 19-21 June.
There are 92 matches still to play, and the first to take place will be those the four teams involved have in hand.
Clubs are still discussing the idea at a meeting which will conclude later on Thursday but it is understood all have agreed in principle at this stage.
The Premier League was suspended on 13 March because of the pandemic and it will be 100 days after Leicester City’s 4-0 win over Aston Villa on 9 March that competition will resume, with games now behind closed doors.
Manchester City v Arsenal was already scheduled to be shown on Sky Sports, while Aston Villa v Sheffield United was not listed for live coverage when selections were announced in February.
On Wednesday, clubs unanimously voted to resume contact training, having started non-contact training last week.
So far 12 people have tested positive for coronavirus after 2,752 tests across the league.
Premier League players and staff will continue to be tested twice a week, with the capacity increased from 50 to 60 tests per club for the fourth round of testing.
Any players or staff to test positive must self-isolate for a period of seven days.
Plans for the third phase of Project Restart include a step towards normal training and build-up to competitive games.
Liverpool currently sit 25 points clear at the top of the table while Bournemouth, Aston Villa and Norwich City are in the relegation places.
The Reds, chasing a first league title in 30 years, could clinch it with victory in their first game back should second-placed Manchester City lose to Arsenal.