You are entitled to keep the same terms, however there may be a way round this which would work for both yourself and your new employer.
We changed our wage payment cycle from weekly to monthly, both with 1 week in hand (lying week).
This was done to simplify procedures, facilitate a bonus system and reduce payroll and banking costs.
To facilitate the extended pay cycle we offered our staff a loan to cover the shortfall in their income, repayable from their final wages when they left the company, or repayable over a number of months. around 30% of our staff took up the offer of a loan and of these half paid it back over a number of months.