This factsheet cites some geological papers that support a drought in that period. Also, some theories point to a drought contributing to the late bronze age collapse (around 1200 BC), which also hit in that region. Here's a paper addressing it, and I am sure there will be more on that period.
_Fermat t1_j6m57ov wrote
Reply to Is there evidence for historic droughts affecting the Mesopotamian area/Euphrates-Tigris Rivers? by RapturousGuitar92
This factsheet cites some geological papers that support a drought in that period. Also, some theories point to a drought contributing to the late bronze age collapse (around 1200 BC), which also hit in that region. Here's a paper addressing it, and I am sure there will be more on that period.