Leverkusen, who will play in the Europa League this season, strengthened their squad by adding the 28-year-old right-back, who spent five years at PSV Eindhoven before joining Atletico in 2018.
“Given the high amount of games in the coming weeks, it was important for us to strengthen our team.”
Having recently sold playmaker Kai Havertz to Chelsea and striker Kevin Volland to Monaco, Leverkusen also signed Czech centre-forward Patrik Schick from Roma earlier this month on a five-year contract.