The new Google Search Console isn't fully on par with the feature set of the old Google Search Console, but John Mueller of Google hinted that a new feature is in the works. Richard Hearne asked John if the "links from" data will be coming into the Index Coverage report in the new Google Search Console. John hinted that it is in the works and will be coming to the tool.
John wrote on Twitter "we generally try to avoid pre-announcing things, but you're not the only one with that feedback :)."
Here is the full set of questions:
We generally try to avoid pre-announcing things, but you're not the only one with that feedback :).
— John ☆.o(≧▽≦)o.☆ (@JohnMu) May 18, 2018
When will this be coming? That I don't know, and I doubt John knows the exact date either but he probably has an idea on the target date of release.
Forum discussion at Twitter.