How to use jQuery click event to change href value asynchronously, based on a JSON query

I'm using the bit.ly url shortening service to shorten certain url's being sent to a "share on twitter" function. I'd like to load the bit.ly url only when a user actually presses the share button (due to bit.ly's max 5 parallel reqs limitation). Bit.ly's REST API returns a JSON callback with the shortened url, which makes the whole scenario async.

I've tried the following to stop the click event, and wait for the JSON call to return a value before launching the click.

I have the following simplified code in jQuery(document).ready():

Updated code (oversimplified)!

jQuery("#idofaelement").click(function(event) {
    event.preventDefault(); //stop the click action
    var link = jQuery(this);
    bitlyJSON(function(shortUrl) {
        link.attr("href", function() {
          //process shortUrl
          //return finalized url;                   
        }).unbind().click();
    });
});

And the following code to handle the bitly shortening (works just fine):

function bitlyJSON(func) {
//
// build apiUrl here
//
jQuery.getJSON(apiUrl, function(data) {
    jQuery.each(data, function(i, entry) {
        if (i == "errorCode") {
            if (entry != "0") {
                func(longUrl);}
        } else if (i == "results") {
            func(entry[longUrl].shortUrl);}
    });
});  
} (jQuery)

The href gets its value changed, but the final .click() event never gets fired. This works fine when defining a static value for the href, but not when using the async JSON method.

Solution

@Tzury Bar Yochay pointed me in the right direction by suggesting I use location.href to update the url. Also @Victor helped with his answer.

I got things kinda working combining the answers, but had issues with the history in firefox. Seems that updating window.location indeed redirected the user, but also removed the "source page" from the history. This did not happen in chrome, safari, ie8, ie8-compatibility or ie7.

Based on this response to another question I was able to create a workaround giving the following working code + made a few changes:

jQuery("#idofaelement").one("click", function(event) {
    bitlyJSON(function(shortUrl) {
        jQuery("#idofaelement").attr("href", function() {
            //process shortUrl
            //return finalized url;                   
        });
        setTimeout(function() {
            window.location = jQuery("#idofaelement").attr("href");
        }, 0);
    });
    return false;
});

Thanks for all the help!