Change how fast "title" attribute's tooltip appears

No, there's no way. The title attribute is implemented in a browser dependent fashion. For example I remember differences between IE and FF when using \r\n inside it.

Mozilla's docs explain the limits and functionality well.

If you want customization you may take a look at third party plugins such as qTip2 which mimic it using divs and stuff and provide you full control.

You could use jqueryUI as suggested. An example of controlling the duration on the show property:

$( ".selector" ).tooltip({ show: { effect: "blind", duration: 800 } });

Jquery UI tooltip is extremely simple and customizable: Just download or include jquery UI in your page.

If you want all the tooltips of your page to show immediately at hover, just use this:

$(document).tooltip({show: null});

Note that this applies to all elements that have a 'title' attribute. You can modify the selector to affect only a class, and set custom speed or effect:

$('.yourClass').tooltip({show: {effect:"none", delay:0}});