The present day situation is fascinating: https://en.wikipedia.org/wiki/African_humid_period#Present-d... : there is an ongoing "greening" which seems caused by global warming and CO2 increases!
However, a 2003 study estimated only 45% of the Sahara could be covered by vegetation, and a 2022 study found that it may not be sufficient to start another AHP: it just "lowers the threshold for orbital changes to induce Sahara greening"