Dawson's position with the Wildcats will also include playcalling duties. West Virginia head coach Dana Holgorsen calls plays for the Mountaineers.
Dawson has been West Virginia's offensive coordinator since 2012 after initially joining the team's staff as inside receivers coach in 2011. His position coaching responsibility switched to quarterbacks in 2013.
The Mountaineers have had explosive offenses under Dawson's watch. West Virginia is No. 11 in the country in total offense this season, averaging 502 yards per game, and finished No. 10 nationally in 2012. Dawson also helped develop receivers Tavon Austin and Stedman Bailey, who were selected in the first round and third round, respectively, in the 2013 NFL draft.
Before joining West Virginia, Dawson was the offensive coordinator at FCS program Stephen F. Austin from 2008-10.
Kentucky finished 78th nationally in total offense this season, averaging 385 yards per game.
While West Virginia is losing its offensive coordinator with Dawson's departure, SI reported earlier this month that defensive coordinator Tony Gibson has agreed to a new three-year contract that could place him among the highest-paid assistants in the country.
It's unclear if Dawson will remain with West Virginia through its bowl game. The Mountaineers play Texas A&M in the Liberty Bowl on Dec. 29.
Kentucky went 5-7 this season and finished sixth in the SEC East.
- Ben Estes