There are no "dependencies" per se for dynamic SQL because it's just text literals, so you have no defined dependencies to search on directly.
As far as I know the only way is to perform some sort of search on the text of the stored procedures, like....
DECLARE @Search varchar(255)
SELECT DISTINCT o.name AS Object_Name,o.type_desc
FROM sys.sql_modules m
INNER JOIN sys.objects o ON m.object_id=o.object_id
WHERE m.definition Like '%'+@Search+'%'
ORDER BY 2,1;