They don’t have any “recent eurasian” admixture as no Neanderthal and no Denisovan DNA either which likely happened in the last 50-100k years. So they would have, if there had been any significant European or Asian or Eurasian introgression into their species.
In fact they do have neanderthal genetics, just not as much as eurasians.
Chad has high levels of R1b Y chromosome from an introgression that happened around 6000 years ago
https://www.sciencedirect.com/science/article/pii/S0002929716304487
If you look at the genetics of east africans in particular like somalis and ethiopians, they look about as much like Arabians as they do anybody else in africa.
But this guy says that Ychromosome haplogroup E and mtDNA haplogroup L3, which are very common in Africa, originated from a group that left africa with other eurasians 125 kya and migrated back to africa 70 kya. This back to africa group accounts for the majority of the DNA of blacks like W. Africans/Bantus and E. Africans, but not Khoisan or Pygmies. Its really interesting.
https://bmcecolevol.biomedcentral.com/articles/10.1186/s12862-018-1211-4
(post is archived)