Jonathan Rhys Meyers Don't Call It A Comeback!

6/8/2015 12:13 PM PDT

Three weeks after he fell off the wagon ... Jonathan Rhys Meyers emerged Monday in London looking like the new man he promised he'd be. 

Meyers was clean-shaven and very well put together as he strolled the streets during a shopping trip. The 'Tudors' star admitted to and apologized for a relapse last month, calling it "just a blip" in his recovery. 

As TMZ previously reported, Meyers just wrapped a movie, "Damascus Cover," where we're told he delivered a great performance.