The Telford MP said she "fully supports football stadiums being allowed to reopen safely as soon as possible – with social distancing implemented".
It comes amid a growing campaign from football clubs for the readmission of fans, and widespread concern about the financial implications of empty stadiums.
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Ms Allan said she had written to the Sports Minister, Nigel Huddleston MP, to "request fans be allowed to return to the club’s grounds".
She added that she would continue to lobby Government on the issue.