HM Inspector of Constabulary Zoe Billingham said the overall response to the financial challenge by police forces had been "good".
But she added: "We have found a considerable variation in the approaches taken by forces - and in some cases this leaves us with concerns about how some forces will manage in the face of further cuts.
"We also have some concerns that neighbourhood policing risks being eroded as forces change how they deliver local policing.
"We flag as a risk the potential that, as a result of these changes, there will be fewer visible police officers with a warrant card, with the power of arrest, out on our streets when they need to be.
"Neighbourhood policing is the cornerstone of the British policing model - not a 'nice to have'."
More top news
Britons wounded in Friday's terror attack in Sousse have been brought back to the UK by the RAF.
A woman who photographed a touching proposal on top of the Eiffel Tower has taken to social media to track down the couple.
Prisoners at a correctional facility in Melbourne are rioting over a smoking ban due to take effect today.