iPhone 4S battery into 4

[Wreckie]

Soon I have to replace the iPhone 4 battery and i am wondering if i could fit 4S battery into 4. Is the connector same type? It would add extra 10mAh to capacity.
Dimensions:
4 - 8.2 x 3.3 x ?cm
4S - 8.1 x 3.1 x 0.4cm

Thanks in advance.

 

[OMGwtfBBQwings]

different connecters. wont work. ive tried.

 

[Wreckie]

different connecters. wont work. ive tried.

Thanks!