Jake & Reese haven't split

"Reese Witherspoon and Jake Gyllenhaal have split, a source close to the actress tells People. No further details were given. Witherspoon, 33, and Gyllenhaal, 28, costarred in the 2007 movie Rendition, after which rumors started flying about them as an off-screen couple. By the summer of 2008, however, the rumors appeared to be confirmed, thanks, in part, to an extended Bastille Day holiday in Paris - followed, the next month, when they were seen in Marrakech, spending a Saturday strolling hand-in-hand, checking out bazaar stalls, before stepping into the shade for lunch, according to reports". Source: www.people.com
A random fan (not a paparazzi) took this photo of Jake & Reese cozy together in April 2009, when they attended to the Coachella Valley Music & Arts Festival, Southern California desert.

UPDATE From People.com:
"Despite reports, Reese Witherspoon and Jake Gyllenhaal are still very much a couple, according to their reps. (Apparently Jake's PR denied the split to Marc Malkin from E online) Although a source close to the couple says their relationship has ended, reps for both say, "it is not true". Nanci Ryder and Carrie Byalick, who rep Witherspoon and Gyllenhaal respectively, tell PEOPLE, "They are still together."

Read People's updates on Jake & Reese relationship

Watch an Enternainment Tonight video with Jake and Reese