Google has officially announced via a blog post that Gmail users will not have suspicious activity alert in the account. So if there is someone trying to hack into your account or maybe even hacked into your account. You will be notified and asked to change your password immediately.
Now, if it looks like something unusual is going on with your account, we’ll also alert you by posting a warning message saying, "Warning: We believe your account was last accessed from…" along with the geographic region that we can best associate with the access.
So if someone is trying to remotely trying to access your account or gained entry into your account you will be notified along with the geographic location of the hack.
By clicking on the details link next to the message you will be able to see account activity along with the latest geographical points of access.
Now if it is legal in the sense that you were travelling or maybe or your husband/wife is also travelling you can click on dismiss to stop the alert.
So the next time you are traveling and see the alert there is no need to panic as Google says they are doing this to ensure users get the best possible privacy details.