Lampard said clubs must get through the first phase, in which players train in small socially-distanced groups, before taking the next decision on returning to competitive action behind closed doors.
La Liga president Javier Tebas has said the preferred date for games to resume is Friday, June 12 and Sanchez's announcement means that plan has been given the green light from the government.
Spanish teams were allowed to return to training recently and have been working in groups of 10 this week. It is unclear when the first games will be held.
"But it is very important to follow the health rules and that the evolution of the pandemic respects us".
The interruption to the season forced several clubs, including Barcelona, to reduce player salaries because of a drop in revenues.
The players in the top two divisions were only able to return to individual training in early May after being tested for the virus.
Former Barcelona coach Luis Enrique, for example, faulted the empty stadium move, adding that playing without fans on was worse than "dancing with your sister".
The league has said the total losses for not finishing the season because of the pandemic could reach almost 1 billion euros ($1.1 billion).
Spain has been heavily impacted by the coronavirus pandemic with more than 28,000 confirmed deaths and almost 282,000 cases.
The top Czech league will resume tonight after a two-month break, with Teplice to host Slovan Liberec in a match that will include pre-kickoff temperature checks and other protective measures.