The government will proceed with “extreme caution” exiting lockdown, the transport secretary said as he revealed plans to “get Britain moving again”.
Grant Shapps pledged £250m for emergency improvements to cycling and walking infrastructure.
But he would not confirm a 14-day quarantine for passengers arriving in the UK.
A further 346 coronavirus deaths have been recorded in the UK, taking the total to 31,587.
The transport secretary said the move beyond Covid-19 would be a “gradual progress” and not a “single leap to freedom”.
Even if the UK transport network was running at full capacity, social distancing rules would mean only one in 10 passengers could travel, he said.
Mr Shapps said there had been unprecedented levels of walking and cycling during the pandemic.
He said: “Whilst it’s crucial that we stay at home, when the country does get back to work we need to ask those people to carry on cycling or walking and for them to be joined by many others as well.”
Pop-up bike lanes, wider pavements, safer junctions, and cycle and bus-only corridors will be created in England within weeks as part of a £250m emergency fund.
It is the first part a £2bn package, which was part of a £5bn investment announced in February, the Department for Transport said.
The extra funding is for English local authorities to help alter road networks with the aim of taking pressure off roads and public transport network.
Matters concerning cycling and walking are devolved. For example, Wales had legislation in place to boost both activities since 2013, while Scotland announced funding for “active travel infrastructure” in April.
The Welsh Assembly has suggested new policies including road or lane closures with filters for cyclists, 20mph limits and footway widening.
No specific measures have been announced yet in Northern Ireland although Infrastructure Minister Nichola Mallon is expected to appoint a cycling and walking champion.
Asked by the BBC’s Ben Wright about reports of quarantine measures for people entering the country, Mr Shapps said he would not announce anything ahead of Prime Minister Boris Johnson’s speech on lockdown measures on Sunday.
But NHS deputy medical director Jonathan Van-Tam said the virus had an incubation period of up to 14 days, during which symptoms develop.
Mr Shapps said: “Bearing in mind the sacrifice the British people have made over seven weeks and counting, you can’t have a situation where someone is asked to stay at home but others can come into the country.”
Announcing £10m for electric car charging points and extended an e-scooter trial across England, Scotland and Wales, the transport secretary said better air quality had been one of the few benefits of the current crisis.
Asked about social distancing in schools, particularly for younger children who may not follow the rules, Mr Shapps said: “Extreme caution is actually the watchword on this. And we’ve seen in other countries where second, not quite spikes have come along, but where social distancing has been relaxed and there’ve been problems, so we will wait to see.”
The government did not hit the 100,000 daily testing target for the seventh day running but there were 96,878 tests delivered in the 24 hours up to 09:00 BST on Friday.