Deputy Prime Minister David Lammy had suggested the bill would be in Parliament "in the coming days".
The bill has been delayed in Parliament in a dispute over an opt-out for the security services.
Former Liverpool player Jamie Carragher and 96-year-old Dennis Adelsberg ran in the annual event.
Former Liverpool footballers Jamie Carragher and Chris Kirkland are taking part in the annual race.
The House of Commons has voted to delay work on passing the bill until the next session of parliament.
Liverpool MP urged the government to "end the delays" without any "carve-outs".
Douglas resident Graeme Bamfield recounts his experience at the Hillsborough disaster 37 years on.
The silence was held at 15:06 BST, the precise time the FA Cup semi-final match was stopped.
A mother whose teenage daughters were killed in the disaster says the delays add to the distress.
