The call on whether the Premier League season can be completed may not now be made until June, according to The Sun.
A number of players like Watford striker Troy Deeney want answers to health concerns before they are willing to play again.
The delay in coming up with a plan for contact training means Premier League chiefs are unlikely to be able to hold a vote on Project Restart for at least another couple of weeks.
All 20 Premier League clubs will meet on Monday to vote on the Phase One return to training, which includes strict social distancing measures and rules out tackling.