The proposals, which will only apply in England, have proved unpopular with some Conservative MPs and the vaccine passports have been rumoured to be facing the axe.
But the Prime Minister’s official spokesman said the plans would not change.
He said: “We set out broadly our intention to require vaccination for nightclubs and some other settings. We will be coming forward in the coming weeks with detail for that.”
Large crowds of protesters marched through central London and blocked traffic as part of a demonstration against the coronavirus vaccine passport plan at the weekend.
The Save Our Rights UK group had previously promoted the “medical freedom march” which would be “standing against mandated vaccines and vaccine passports”.
Pictures and video shared on Twitter showed protesters gathering at Hyde Park on Saturday.
People could be seen carrying placards and banners saying “no medical dictatorship” and “no vaccine passports”, while smoke flares appeared to have been released in one place.
It is believed the plan will require clubbers to use the NHS app which allows users to show proof of vaccination.
The Prime Minister first spoke about the plan in summer just as clubs were allowed to reopen.
Speaking at the time, he said: “We are planning to make full vaccination the condition of entry to nightclubs and other venues where large crowds gather. Proof of a negative test will no longer be sufficient.”