This approach, of having a "Link to this page" pop-up appear when someone visits the page, assumes that you're doing something to get people to visit the page in the first place. That's the important part. You're going to need some sort of promotional plan... advertising, social marketing, news releases, personal emails, etc. I suggest reading the discussions in this forum's library for promotional ideas. Here's one of the best such articles you'll find....
Link Development vs. Traffic Development and Staying with the Times
[webmasterworld.com...]
Most important... your content needs to be good enough to be worth discussing elsewhere and to be worth linking to. This suggests (to me, anyway) that it's got to be good enough that I'd bookmark it for myself and recommend it to friends and associates.
I'm not particularly enthusiastic about the pop-up approach, btw. I find pop-ups very annoying and try to block them. I definitely wouldn't be inclined to link to a site that assaulted me with a pop-up on every page.
I can't say whether a simple "like us? link to us" message on the page works at all these days. Perhaps others who've done this recently will have thoughts.