Jurgen Klopp's side won the Champions League in June of previous year and some 750,000 fans lined the streets of Liverpool for an open-top bus parade through the city in celebration.
And Masters admits the Premier League has not broached with its member clubs the question of what might happen if the season has to be abandoned.
"We've taken the first step".
The Premier League's chief executive, Richard Masters, has said he is "as confident as we can be" about restarting in June.
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A June resumption remains the league's target - June 12 has been mooted - but the end of May is already not far away and no precise plans have been confirmed.
Premier League officials, medical experts and representatives from all 20 sides held talks on Monday via a video conference call and agreed to stage one - non-contact and in small groups - of the return to training protocols.
Matches will be played behind closed doors due to the virus, but Masters said the Premier League want games to be staged at clubs' normal stadiums rather than neutral venues, which was the original suggestion.
"We wouldn't have taken the first step to get back to training if we weren't convinced we had created a very safe environment for our players", he said.More news: Cases of corona increases in America
Asked what his message would be to players, Masters said: "We've done everything we possibly can to make return to training as safe as possible for you and therefore for you and your family".
Each club can receive up to 100 tests a week over two slots, which is aimed to assist clubs with a return to training during the global pandemic.
"It is the first step and we have to be sure when we go to contact training we have completed those processes".
Chelsea FC are now in fourth place in the Premier League table as they chase a top-four finish in Frank Lampard's first campaign in charge.More news: Hertz Files for Bankruptcy Protection as Car Rentals Evaporate in Pandemic
"We've seen the Bundesliga last weekend".
"I think that shows the types of complications that we've got".
Tom Werner has revealed that Liverpool will have a Premier League title-winning parade at some point.
Masters said a trophy presentation would be organised when the title is won, provided the Premier League could facilitate the handover.More news: Probes launched into inmate's COVID-19 death