Play, the digital agency set up by M&C Saatchi and former itraffic directors Matt Gorzkowski, Jon Sharpe and Ethan Segal, won the brief in a pitch against another, unnamed agency.
The Link plans to launch an online marketing campaign at the end of September, which will include a microsite, rich-media formats and a viral push.
The agency's initial remit will be to extend the brand's new above-the line ad campaign featuring the 'Suit You Sir' tailors from the Fast Show.
The characters, played by Paul Whitehouse and Mark Williams, already feature on the Dixons-owned chain's site, Thelink.com.
Meanwhile, Play also scooped the web marketing account for Tourism Australia in a co-pitch with M&C Saatchi, which works on its above-the-line ads.
Play won the account from agency Joshua. A campaign involving rich media is set to launch at the end of September.
Jon Sharpe, managing director of Play, said: "Travel and consumer electronics are sectors in which the internet has had a massive impact on the way consumers make purchases. We are eagerly anticipating the opportunity to help Tourism Australia and The Link take advantage of interactive media."