In strikingly outspoken comments, the Prime Minister said he was not prepared to overrule the House of Lords Appointments Commission (Holac) or make promises to key allies of Mr Johnson about becoming peers.
"And if people don't like that then tough," Mr Sunak said at a fintech event in London.
But the PM was himself being urged to show how the Conservatives could win the next election with their "best player off the pitch", after Mr Johnson's resignation as an MP on Friday.
The Tories trail Labour by a double-digit gap, according to polls, far more than when Mr Johnson was in No 10.
MPs on the Commons Privileges Committee were today meeting to decide when to publish the findings of their inquiry into whether Mr Johnson misled Parliament over partygate.
Former culture secretary Nadine Dorries, ex-minister Nigel Adams and Cop26 president Sir Alok Sharma were reportedly put forward by Mr Johnson for peerages. Ms Dorries and Mr Adams have resigned as MPs since being omitted from the peerages list, leaving Mr Sunak facing three by-elections.
One of Mr Johnson's allies accused the PM of a "deceitful slight of hand", claiming No10 had interfered in the nominations list.
Esta historia es de la edición June 12, 2023 de Evening Standard.
Comience su prueba gratuita de Magzter GOLD de 7 días para acceder a miles de historias premium seleccionadas y a más de 9,000 revistas y periódicos.
Ya eres suscriptor ? Conectar
Esta historia es de la edición June 12, 2023 de Evening Standard.
Comience su prueba gratuita de Magzter GOLD de 7 días para acceder a miles de historias premium seleccionadas y a más de 9,000 revistas y periódicos.
Ya eres suscriptor? Conectar
Why are England wasting time waiting for Tuchel?
Winning the World Cup is the aim, so the new boss should start now
He's been shot, and punched by Mike Tyson, but British boxing's great survivor is back on top and aiming to rule the world
This is where the magic happens,\" reads a big neon sign scrawled across the entrance to the offices of arguably the most powerful man in British boxing today.
How Sketch went from 'obscene' to era-defining
After arocky start, the glamorous and infamous restaurant is now an institution
Money is worth less than time'
He's quit Fendi, but what will Kim Jones do next?
London's Roman Amphitheatre
Guildhall Yard, EC2V
Liberals didn't notice they'd lost relevance in the all-consuming digital sphere
There are many reasons why Donald Trump might have won the election last week.
Do we have to die?
One neuroscientist thinks the answer is no
How to have a magical Christmas in Edinburgh
From cosy cobblestone streets to abundant Yuletide goings-on, few cities rival the Scottish capital in creating Christmas whimsy.
London's best festive restaurants
The social season is upon us once more. These are the city’s most coveted Christmas venues, which need to be booked soon so as to not miss out on the tinsel and tipples.
Rag'n'Bone Man
I struggle with being recognised... I'll never really feel comfortable with it'