Aguirre told Marca Claro that he had been told officially of the plan to restart the championship which has been in cold storage since March due to the coronavirus.
"We already have a start date for the league -- on June 20 we will start La Liga and after five weeks we officially finish, on July 26," said Mexican coach Aguirre whose side were second bottom of the table when action was halted two months ago.
"Matches will be played Saturday-Sunday and Wednesday-Thursday, 11 rounds.
"La Liga has just informed me officially and I am very happy about that because we have now scheduled the training sessions. We start tomorrow (Friday) because thankfully we passed the tests."
League officials have not yet commented on Aguirre's claim, merely saying that their focus at the moment was completing the training phases at the clubs.
Players had already started returning to undergo coronavirus tests as teams plan to return to restricted training.
The first of a four-phase de-escalation programme announced by the Spanish government last week allows players to initially train alone, with a maximum of six players permitted on the pitch.
La Liga'sprogramme will then permit training in small groups before a return to larger team sessions.
In the fourth and final phase, in early June, the government has said outside events can go ahead when attended by fewer than 400 people.
La Liga is proposing to complete its season behind closed doors.
League president Javier Tebas has said "it is not an option" to cancel the season given the economic fallout, estimating it would cost clubs around a billion euros.
Barcelona led the championship by two points from Real Madrid when La Liga was suspended.
So far in Europe's major leagues, the German Bundesliga has announced it will resume its season on May 16.
However, France's Ligue 1 has been abandoned while the English Premier League and Italy's Serie A are still seeking a safe way out of the crisis.
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