England completed a 3-0 sweep of West Indies in their one-day international series on Tuesday, with Smith scoring a rapid half century in their victory in the final match.
"Salt, who is taking time away on paternity leave following the birth of his child earlier this week, will now spend time at home. He has been replaced in the squad by Surrey batter Jamie Smith," the ECB said in a statement.
The first T20 match takes place at the Riverside Ground in Durham on Friday.
--Reuters--