Instagram seems to be in the process of coming up with direct messages on the desktop site as well. This was disclose by Jane Manchun Wong who shared some screenshots.
Image Source: Search Engine Journal
Instagram directs appear the same as Facebook Messenger on the desktop. Apart from this, Instagram also trying to launch another messenger like feature under the shared section. The shared section will be the collection of all media that has been shared in a single chat.
Last week Instagram launched a new app “Threads” which is facing a rough tough to get a boom in the market yet Instagram is introducing a new messaging feature.