They officially put break-up rumors to rest when they were spotted on a romantic stroll in Paris last week, but Bradley Cooper and Suki Waterhouse are still spending large amounts of time apart.

Bradley Cooper Replacing Harrison Ford In 'Indiana Jones?'

Cooper was spotted returning to LAX April 20, but his 22-year-old model girlfriend was not with him. The actor kept his head low, and wore shades and a baseball cap as he made his way from the terminal.

He was also spotted out in Los Angeles April 21, leaving the gym and showing off his newer buff bod as he begins filming Clint Eastwood's American Sniper.

Bradley Cooper, Suki Waterhouse Break-Up Rumors

The 39-year-old actor and his girlfriend faced split rumors earlier in April after Cooper reportedly began calling ex-girlfriend Renée Zellweger and refused to cut ties with his ex, something that forced Waterhouse to call things off.

"Bradley told Suki she was being unreasonable and refused," a source told International Business Times at the time. "Now she's decided it's time to move on."

However, E! News reported that the rumors were false, saying the two were very much together.

Their trip to Paris, where they were seen visiting the Pont de l'Archeveche Bridge and Notre Dame Cathedral, was the couple's first public outing together since the Academy Awards on March 2, where Cooper was nominated for Best Supporting Actor in American Hustle.

Breakup rumors aren't the only ones that have swirled about Cooper in recent weeks. The actor has also been rumored to be tapped by Disney to replace Harrison Ford as Indiana Jones in an upcoming Indiana Jones 5 movie sequel. Though Cooper has never commented on the rumors, they were reported to be false.

Tags: Bradley Cooper Suki Waterhouse