Flood has spent the past two seasons at Alabama, which won a national title Monday night against Ohio State. He worked alongside Sarkisian with the Atlanta Falcons in 2017 and 2018 -- Sarkisian served as offensive coordinator and Flood coached the offensive line -- before joining Nick Saban's staff at Alabama.
Flood, 49, last held a coordinator role at Rutgers in 2009 and 2010. He later became Rutgers' head coach, going 27-24 in four seasons.
Horns 247 first reported that Texas was expected to hire Flood.
Sarkisian, Alabama's offensive coordinator the past two seasons and the 2020 Broyles Award winner, is expected to remain Texas' offensive playcaller.
"I definitely want to be the playcaller. I will be the playcaller," Sarkisian recently told the Austin American-Statesman. "I made that mistake one year of my career [in 2015 at USC]. It won't happen again, not in the near future. But the reality of it is, part of the reason [athletic director Chris Del Conte] and the people at Texas liked me is because of the job I was doing as a playcaller. All of a sudden, why would I relinquish one of the best traits that I have?"
Sarkisian also is set to bring Alabama offensive analyst A.J. Milwee to Texas, where he will coach quarterbacks, sources told ESPN. Milwee spent seven seasons as Akron's offensive coordinator before coming to Alabama.
Alabama special teams coordinator and tight ends coach Jeff Banks is also following Sarkisian to Texas, sources confirmed to ESPN on Thursday. Banks spent three seasons on Saban's staff at Alabama after spending the previous five seasons on Texas A&M's staff.
ESPN's David Wilson and Chris Low contributed to this report.