Sheffield United manager Chris Wilder says contact training "has to come as quickly as possible" while Manchester City boss Pep Guardiola believes his players are keen to return.
Players and managers from England's top-flight clubs were briefed on proposals for the reintroduction of contact training on Tuesday, with club executives due to vote on them at a shareholders' meeting on Wednesday.
Giving the green light to stage two of training will be another landmark moment in the league's 'Project Restart' plans, with a return to action in mid-June the ultimate goal.
It also recommends meticulous record-keeping of any close contact – defined as anything which occurs within the two-metre social distancing boundary – so that in the event of a positive test, contacts can easily be traced.
Testing will continue to take place twice a week, with the next set of Premier League results due to be published on Wednesday.
If the contact training protocols are approved, a further shareholders' meeting is scheduled for Thursday when clubs will look at wider issues. Stage one training – involving small groups observing social distancing – was introduced last Tuesday – the day after clubs voted in favour of the protocols.
These will include possibly settling on a restart date, further discussions on the use of neutral venues, considerations around the broadcast of matches and talks on what should happen if the season should have to be curtailed.
Manchester City boss Pep Guardiola suggested his players were keen to resume but deferred to those who were on the frontline of the pandemic response.
"I think they are looking forward to coming back training again and doing what they like. They've come back perfectly," he told City TV.
"(But) we're not doing anything special. The special (people) are the doctors, nurses, scientists, cleaners, who put their lives at risk to save ours. Many people in the NHS put their own lives at risk to save ours. It's incredible what they have done and we have to follow them. We cannot do anything wrong."
In the EFL, there remains a lack of consensus around how to conclude the 2019/20 season. Tranmere chairman Mark Palios, whose club occupy one of the relegation places in League One, re-entered the debate on Tuesday evening with a new proposal for the EFL board.
It suggested any early curtailment of the campaign should see a points-per-game formula applied to the table, with "the statistical average actual margin for error over the last 3 years" then applied to the results.
Under the suggestion teams in automatic promotion places would go up regardless, while any teams in the current or projected table's play-off places would be invited to take part in a tournament. Relegation would only befall clubs who were in the drop zone after the margin-for-error calculation.
The lengthy accompanying statement includes an explanation which appears to sum up the root of the plan. It reads: "The beauty of football is its unpredictability. Teams go on strong runs and on poor runs. Some react well to pressure and some badly.
"What is a virtual certainty is that if the season was played to a conclusion, those which PPG puts in the relegation spots would not be those who are relegated, and those which PPG puts in the promotion spots would not be those who are promoted."
