It's not a driver issue.  If you have the tools to decompile the BIOS, correct the code, recompile it and flash the result to the system, you may be able to remove the incompatibility.  More likely, you'll find it simpler and far less time consuming (not to mention less dangerous to the system) to simply install the correct battery.   
New battery received that was slightly different in specs. It won't charge but it will run the laptop. Is there a work around for this to work??? Former battery: 52wh 7.4vm type jd25G New battery: New Genuine Dell XPS 13 9343 7.6V 60Wh Battery PW23Y Full back story. Needed a battery. Old one had to be plugged in to work. Dell did not have one available to get. I ordered a new battery that was apparently for this exact laptop. Only when I swapped them did I realize the spec difference. The laptop will power up but the light beaneath the trackpad flashes white/ orange all the time. An error comes up on start up about a service tag but you can bypass it. The charger, (0X9RG3 Laptop AC adapter, 45w) will not charge it. Is there a workaround? Can I use this battery with a new charger? new driver? anything that might work?? It fits the laptop perfect and seems to work just fine. thanks
Dell XPS 13 9343 battery replacement different output issues