Phishing is typically carried out by email spoofing or instant messaging, and it often directs users to enter personal information at a fake website, the look and feel of which are identical to the legitimate one and the only difference is the URL of the website in concern. — Wikipedia
In other words, for example, you may be directed to enter your password at GMA1L.COM instead of GMAIL.COM or to paypaal.com instead of paypal.com.
One great thing about password managers is that computers don’t fall for a “slightly similar URL”. And since you rely on the password manager to fill in your username and password, if you go to the phishing URL, the password manager will not find any credentials to fill in for this URL.
Just be extra careful when this happens, and don’t assume that something’s wrong with your password manager.