Taylor Swift blonde singer jacket london uk guitar courtesy MrPaparazzi

The Taylor Swift/Jake Gyllenhaal romance is really heating up! But so far, it's all rumors and reports - we want a pic of the hot new couple together!

"Dear John" singer Swift boarded a flight out of Heathrow International Airport in London today, but the juicy gossip is rather about how she got to London...

Alleged boyfriend Jake Gyllenhaal was promoting Love and Other Drugs across the pond and, according to The Sun, was oh so lonely that he spent over $150,000 to fly Taylor on a private jet to see him. Yikes! Pricey.

Taylor was headed to London anyway, to play the Radio 1 Teen Awards at the Hammersmith Apollo.

Maybe the happy twosome will get engaged like everyone else in Hollywood this month!