Chrome and Safari on iOS 12.4 doesn't set cookies timeously

In a web page I set a cookie when the page loads then check a condition and immediately redirect to a second page on the same site where I read the cookie. The cookie is not set when I arrive at the second page. The above functionality works on desktop browsers and it worked in iOS 12.3.1 without any changes to the site. After upgrade to 12.4 it stopped working, but still worked on a 12.3.1 device. Any thoughts?