need to tune this sql query to improve performance

Does it work better when you do it like this?

update 
   (select Table_1.status
   from Table_1
      join Table_2 on 
             Table_1.col_1 = Table_2.col_1
         and Table_1.col_2 = Table_2.col_2
         and Table_1.col_3 = Table_2.col_3
         and nvl(Table_1.col_4, 0) = nvl(Table_2.col_4, 0)
         and Table_1.col_5 = Table_2.col_5
   where Table_1.status = 'status_1'
      and Table_2.status = 'Status_0')
set status = 'Status_2' ;