The last time coronavirus-related deaths increased by one was on August 30.
The UK has now administered 34,588,600 first doses of vaccine and 15,500,949 second doses, for a total of 50,089,549.
Some 1,649 cases of COVID have been recorded in the last 24-hour period.
It compares with 2,064 cases and six deaths recorded last Monday (April 26).
The prime minister said there was a “good chance” that the one-meter rule for social distancing could be dropped next month.
The final decision on whether the change can be made from June 21 will depend on the data, Boris Johnson said, but added: “This is how I feel about myself right now. “
He also said the next step in the non-lockdown roadmap on May 17 – which covers domestic hospitality, entertainment and perhaps overseas travel – “is going to be good.”
Meanwhile, an industry chief said a return to unlimited exchange for hospitality starting June 21 was “critical” and would mean businesses can “forgo life-sustaining.”
The comments from Kate Nicholls, managing director of trade body UKHospitality, come as The Times announced that social distancing rules would be lifted to allow pubs, restaurants and theaters to open at full capacity for the first time in over one year.
One-way systems, screens and wearing masks when traveling could remain in reception areas, but the number of customers will no longer be limited, the newspaper said.
Spectators in theaters and cinemas will be required to wear masks during performances, while there will be strict guidelines on ventilation and stepped entry, the Times said.
But Foreign Minister Dominic Raab said “certain safeguards” could remain in place when legal restrictions end, such as continued use of masks and physical distancing.