Should be fine, SATA3 is backwards compatible AFAIK. If the laptop can take a 2.5 inch SATA drive then you should be okay.
I happen to have an even older laptop than yours (from 2008 era) that's been rocking a 2.5 inch SATA SSD for at least 5-10+ years now. Works fine and was definitely an improvement over the old performance. The laptop is still quite old/slow in other ways but that's expected from something that old.. luckily it's not my main computing device.