Irene Lozano, the president of Spain's National Sports Council (CSD), insisted it was "impossible" to have fans back in stadiums when LaLiga resumes this month.
The LaLiga season will restart on June 11 and Miguel Angel Ramirez, the president of Segunda Division club Las Palmas, said supporters would be able to attend his side's home matches beginning that weekend.
However, Lozano said it was impossible to have fans return so soon amid the coronavirus pandemic.
"It is impossible. The integrity of the competition must be respected," she told Cadena SER, via AS, on Tuesday.
"There are many considerations in this regard, but the most essential is sports. Respect the integrity of the competition.
"Since LaLiga is a national competition and we have all tried so very hard that the training sessions were matched, I'm a bit surprised that after the effort we have made to match what was out of step, now suddenly in the last 100 metres we come to unbalance."
Barcelona hold a two-point lead over Real Madrid at the top with 11 games left, and the latter will not play at the Santiago Bernabeu when they get back underway.
Lozano, who kept open the possibility of fans attending this season, said LaLiga needed to stay responsible amid COVID-19, which has killed more than 381,000 people worldwide.
"If you compare yourself to other places, the Bundesliga, where people have not entered, it is time to be patient, it is time to be responsible," she said.
"They cannot enter or congregate in the immediate vicinity. And if it happens, who is responsible for that?
"Until all the forecasts are in the same phase of de-escalation, it is impossible for there to be football with the public."