A man arrested on suspicion of indecent assault is believed to be Neville Neville, the father of former England footballers Gary and Phil, ITV News understands.
Police said they arrested a 63-year-old man after reports of an incident in Bury in the early hours of Saturday.
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TV presenter Helen Skelton is a supporter of the campaign and is calling for more parents to get out on their bikes with their children.
Mrs Justice Nicola Davies will sentence Berlinah Wallace, 48, at Bristol Crown Court.
The JR4NHS group was founded by three doctors and a university professor, and supported by the renowned physicist until his death in March.