Should a field display it’s value in its tooltip?

Should a field display it's value in the title attribute (tooltip)?

For example, lets say we have a text input field and a select menu, both have a value that is fairly long, but the field width is smaller, resulting in truncated text. Also lets say the fields are disabled.

In this scenario, should I make it a practice to display the field's value in the title attribute so that the user can hover over it to see the full value?

I know without this for select menus, you can click it to see the full length, and inputs you can select the text, but this limits the user from being able to glance at it, also with disabled selects, you can't open the dropdown.