The government is expected to announce on Monday that some elite athletes can start an initial phase of restricted group training later this week.
That will depend on medical protocols being finalised and accepted.
Footballers have so far been limited to individual training.
A vote on whether to use neutral venues is not planned during Monday’s Premier League meeting – a sign that an estimated six or seven clubs remain opposed to the idea.
The league has been suspended since 13 March because of the coronavirus pandemic but is aiming to resume in June, with most clubs facing nine games to play.
Culture secretary Oliver Dowden is due to meet football authorities on Thursday.
Later this week, the Premier League will also hold talks with the Professional Footballers’ Association and the League Managers Association after they have digested the medical protocols needed for a return to firstly phased training and then full competition, and have received feedback from their members.
On Sunday, the PM said people in England will be able to “play sports but only with members of your own household”.
Dowden tweeted that the government will “imminently allow” some sports like golf, basketball, tennis and fishing to resume “in the least risky outdoor environments” and only for those taking part alone or in their own households.
The Premier League still faces several challenges around Project Restart.