The Premier League season is set to restart on 17 June.
The matches are the two games in hand.
A full fixture list would then be played on the weekend of 19-21 June.
Clubs are still discussing the idea at a meeting on Thursday, but it is understood all have agreed in principle at this stage.
There are 92 fixtures still to play.
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.
On Wednesday, clubs unanimously voted to resume contact training, having started non-contact training last week.