The 25-year old Brazilian striker has emerged on the radar of the Premier League leaders as they look to strengthen their attack in January.
Costa, who has been in fine form for Los Rojiblancos this season, could be available for around £32million this winter and Keown believes it would be wise to invest.
“If he’s on their radar and his fee is fixed, they should go for him sooner rather than later.”
Costa is the leading scorer in Spain’s La Liga with 19 goals which has helped Atletico to second spot on the table behind Barcelona on goal difference.
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball