I was going to suggest the same as Ocean Princess....are you usually good with paying your rent? If you are then I'm sure the estate agents won't be too fussed with you giving them whatever you can for the month then paying the rest in a few weeks.
I would be very surprised if the estate agents agreed to this. They only collect rent on behalf of the landlord, who will probably have a mortgage to pay so is unlikely to agree. I know as a landlord I would never agree to an arrangement like that.