I work in a Jobcentre, johnizere. SSP is payable for a maximum of 28 weeks. It is paid by the employer in the same way he pays your wages and attracts tax and NI (The full pay that the employer pays would include the SSP).
The spell of 28 weeks doesn't have to be consecutive weeks - spells of sickness count towards the 28 weeks if separated by periods of work of 8 weeks or less. For example, a man is off sick 2 weeks, returns to work for 1 week, then off sick a further 1 week - the clock starts ticking from day 1 of sickness.
Once the maximum 28 weeks of SSP has been paid by the employer and you are still off sick, you could then claim Incapacity Benefit.
Neither SSP nor Incapacity Benefit is means tested - savings have no effect.
I hope this helps (I've summarised it a bit as there are, as always, "ifs and buts and excepts" ) - I suggest you ring your local Jobcentre and ask to speak to someone about SSP.