The Nigerian attacker has been told that he can leave West Bromwich Albion if their asking price is met following a dispute over a failed transfer to Queens Park Rangers last season.
When asked for his take on reports that have linked his club with the 32-year-old, Laudrup refused to rule out his potential arrival.
"We want to add one more who can give us that in a certain part of the game or in certain games," the Dane told the South Wales Evening Post. "[Odemwingie] is a player with pace who knows the league."
Odemwingie joined the Baggies from Lokomotiv Moscow in 2010.