24-year-old Turton rejected a new contract last month with the Alex and will join Blackpool on a two-year deal from 1 July when his present contract at Crewe expires.
Turton made his debut for the Railwaymen back in 2011 and went on to make 190 appearances for the Alex netting 4 goals, including an equalising goal against Blackpool in the 2-2 draw back in February.