Reduced time needed for the "new" tag to disappear in Gmail when displaying a tab

In Gmail, if I receive a new email in one of the tabs ("Updates", for example), a small tag appears next to "new".

If I click on the tab, then on something else soon after, the "new" tag remains. I have to stay open on this tab for a few seconds before the "new" tag disappears.

Is there a way to make the "new" tag disappear as soon as I see the corresponding tab?