Actually, it can work for sprocs without needing SqlClient, as the...

Actually, it can work for sprocs without needing SqlClient, as the "structured" bit is inferred and no type-name is required

Dapper NET40/SqlMapper.cs

@@ -3813,9 +3813,18 @@ public TableValuedParameter(DataTable table, string typeName)
         }
         void SqlMapper.ICustomQueryParameter.AddParameter(IDbCommand command, string name)
         {
-            var param = new System.Data.SqlClient.SqlParameter(name, SqlDbType.Structured);
+            var param = command.CreateParameter();
+            param.ParameterName = name;
             param.Value = (object)table ?? DBNull.Value;
-            if (!string.IsNullOrEmpty(typeName)) param.TypeName = typeName;
+            if (!string.IsNullOrEmpty(typeName))
+            {
+                var sqlParam = param as System.Data.SqlClient.SqlParameter;
+                if (sqlParam != null)
+                {
+                    sqlParam.TypeName = typeName;
+                    sqlParam.SqlDbType = SqlDbType.Structured;
+                }
+            }
             command.Parameters.Add(param);
         }
     }

Tests/Tests.cs

@@ -2835,6 +2835,15 @@ public void DataTableParameters()
 
             count = connection.Query<int>("select count(1) from @ids", new { ids = table.AsTableValuedParameter("MyTVPType") }).First();
             count.IsEqualTo(3);
+
+            try
+            {
+                connection.Query<int>("select count(1) from @ids", new { ids = table.AsTableValuedParameter() }).First();
+                throw new InvalidOperationException();
+            } catch(Exception ex)
+            {
+                ex.Message.Equals("The table type parameter 'ids' must have a valid type name.");
+            }
         }
 
 #if POSTGRESQL