The MP told Oliver Dowden in the letter that the Peterborough United management and ownership team has written to him, seeking support to reopen stadiums for the supporters.
The Weston Homes stadium on London Road has a capacity of 15000 fans, and Mr Bristow is urging to allow at least 1000 fans back in the stadium, which has now been made completely covid-secure.
Previously, Posh chairman Darragh MacAnthony tweeted that "it's time the government get their cheque book out" as it was announced that plans to allow the phased return of spectators into sporting venues have been put on hold.
Mr Bristow has argued, if pubs and cinemas are reopened, sporting facilities should be opened as well for the public.
In his letter, Mr Bristow wrote: "Posh means a lot to Peterborough public. I am sure you can appreciate things are tough for the club and fans, when fans can’t be in the stands to support their team.
“I have been contacted by the chief executive of Peterborough United, Bob Symns, and the chairman for Peterborough United Supporters Trust, Marco Graziano.
“They have reassured me of their commitment to safety during this crisis and that the club has followed all the government and sports authority guidance. They have told me their London Road stadium is now Covid-secure and ready for the return of their fans.
“London Road has a capacity of 15000, and the club is seeking to allow 1000 supporters in the stadium in a socially-distanced fashion. If cinemas, pubs and restaurants can open safely, I have every confidence Peterborough United can do so.
"A beloved football legend, Tommy Robson, passed away recently and there was an outpouring of sadness in the local community. I know it would mean so much to Peterborough if supporters of the club could come together at the ground and pay their last respects.
"Alongside all of the team and supporters of Peterborough United, I would be grateful if you could look into this matter and ensure London Road can re-open again.”
The Covid-19 restrictions have placed clubs across the globe into a similarly difficult situation, logistically and financially.
In Posh's case, the club is feeling the effects of no gates since March 7, as well as the cancellation of the Little Mix and Westlife gigs in June.
In the latest poll, we have been asking our readers if they think sporting fans should be allowed back in the stadiums.
We have been receiving reactions from fans who think they should be allowed to watch their teams play from the stands. Some have even said the 'fake cheers' on TV being played should also be stopped as it sounds 'awful'.
However so far more than half have answered: "No, it will spread Covid-19 - and I think the same about theatre and music events."