Yes it would. The SATA interface is backwards compatible, which means that no matter which revision (version) of SATA is your drive and the port on your laptop's motherboard, they would be compatible. E.g. if the drive you're getting is SATA III and the laptop has a SATA II port, you'd still be able to use that SSD. However, you'd be able to use it with the maximum speeds of up to 300MB/s as this is the limit of SATA II. This means that if the drive is capable of speeds of up to ~450MB/s it will be capped at 300MB/s. But this is still quite an improvement and you'll still get the most out of the SSD's faster access time and it's always worth the upgrade.
From what I was able to find out about your laptop model, it seems like it's SATA II, but you should check that out in the User Manual or contact the laptop manufacturer's customer support in order to find out for sure.