Putting an esata HDD of an intel core i5 laptop into another computer

I have an issue that I would like you guys to help me with if you can.
I have an intel core i5 Toshiba Satellite L750 laptop (with an Intel HD Graphics 3000) whose hard drive I wanna put into a intel core i5 Toshiba Satellite S50-A with a Dedicated Nvidia GPU. Do you think that it will work with no problems?
Both use esata hard drives.
I need your feedback before I buy the Toshiba Satellite S50-A.