The Home Secretary will "consider" granting extra funds to Cambridgeshire Police to help recruit more officers.
Mrs Spence she felt confident of a better settlement
Chief Constable Julie Spence and police authority chairman Keith Walters met Home Secretary Jacqui Smith at Westminster to put forward their case.
In September Ms Spence said the force was struggling to provide adequate services because of a large influx of migrant workers to the area.
Ms Spence said after the meeting she felt confident of a better settlement.
She added: "The Home Secretary listened carefully to the arguments we were making and asked detailed questions about our case.
"We explained that we have fewer police officers per head of population than most other forces, and this at a time when our population continues to grow at a faster rate than almost anywhere else in the UK.
"We also made it abundantly clear that we felt Cambridgeshire was being short-changed and hoped that situation would be reversed.
"The Home Secretary said our funding requirements would be considered."
Finances from central government towards the cost of policing are expected to be announced in December.
Ms Spence added: "While it remains to be seen whether this will result in more funding for front-line policing, I think we are more likely to get a better settlement having made the case than if we hadn't made it all."