02/11/2013 03:40 pm ET

Tiger Woods, Lindsey Vonn Relationship: Stars Reportedly Spending More Time Together

Although Lindsey Vonn has already downplayed rumors that she is dating Tiger Woods, a new report published by People Magazine indicates that their relationship -- what ever it may be -- might be starting to heat up.

A source told People that while the two have been friends for a while, Woods has "been spending more and more time talking to her –- and talking about her."

After Vonn was seriously injured in a devastating crash during the super-G at the world championships last week, Woods reportedly sent a private plane to fly her out of Austria. TMZ published photos of Vonn boarding a plane on crutches and reported that it was Woods' jet.

Late last month, a report from Hollywood Life claimed that Vonn and Woods had been dating since November. At the time, Vonn dismissed the rumors, telling the Denver Post that they "are just friends."

Vonn underwent knee surgery on Sunday morning and the surgeon who performed the procedure said he was "optimistic for a full recovery."