Brody Jenner and Avril Lavigne
01/18/2012 at 05:00 PM EST
Apparently there's no bad blood between Brody Jenner
and Avril Lavigne
The exes, who haven't officially confirmed their split, took to the Twitterverse on Tuesday to declare their adoration for each other.
"It really upsets me to read all the FALSE!! stories," Jenner, 28, wrote
. "Avril has always been there for me and is the closest person to my heart. I love her."
Lavigne, 27, wrote back, but unlike in the past
when they were a couple, she condensed the 'L' word to three letters instead of four.
"Luv u 2!!! @brodyjenner," she Tweeted
The couple, whose romance was first reported in May 2010, could very well get back together, a source told PEOPLE
after verifying the breakup.
Reps have not commented, and Lavigne will be touring Asia next month.