The current paper examines the impact of countermeasures against tracking user browser fingerprints on user uniqueness. The measures investigated are changing browsers and installing special plugins that allow blocking access to browser attributes or replacing their values with random ones. Browser fingerprints are obtained using a tool written in the JavaScript programming language with the "fingerprint3.js" library connected. The experiment is conducted, as a result of which, the conclusion is made about the variability of the user's browser fingerprints and the degree of effectiveness of the proposed measures to counteract the tracking of browser fingerprints.