Prime Minister Boris Johnson has confirmed that the roadmap is still on track, with restrictions set to lifted on June 21.
Mr Johnson spoke about the prospect of the June 21 unlocking going ahead to reporters today.
He said: "We will be letting everyone know exactly what sort of arrangements to expect for June 21.
"What I can tell you, and just to stress I'm still seeing nothing in the data that leads me to think that we're going to have to deviate from the roadmap, though obviously we must remain cautious, but I'm seeing nothing that makes me think we have to deviate.
"On June 21 and vaccine certification or covid status certification people should know that I don't see any prospect of people having to show certificates to get into pubs or anything like that."
Pressed on whether the public will continue to be asked to wear masks, Mr Johnson replied: "We will let people know as much as we possibly can by the end of the month about weddings, for instance.
"All the details we'll try and let people know by the end of the month about exactly where we think we'll be on June 21, Step 4."
Mr Johnson's comments come after Downing Street said the emergence of a new variant of coronavirus in Yorkshire will continue to be monitored.
The Prime Minister's official spokesman said: "There have been a number of variants throughout the pandemic and there will continue to be so.
"There are three mutations of the B1617 strain, as I think has been discussed previously, but as we do with all variants where we spot and identify them through our genomic sequencing programme, we will continue to monitor them and we will designate them as variants under investigation, and then variants of concern if we deem them to be of greater risk.
"But again, as you've seen throughout the pandemic, that's what we've done and we won't hesitate to put in measures that we think are necessary to try and tackle the transmission of any variants."
Asked whether the discovery of the new variant would have an impact on the next stage of restrictions lifting on June 21, the spokesman said the five-week gap between measures relaxing would allow the variant to be monitored.
He added: "As the Prime Minister has said, we will continue to look at all the statistical evidence and data, and we'll set out our plans as soon as the data allows."