Irene Lozano, the president of Spain's National Sports Council (CSD), insisted it was "impossible" to have fans back in stadiums when La Liga resumes this month.
The La Liga 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.
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"It is impossible. The integrity of the competition must be respected," she told Cadena SER, via AS, on Tuesday.