Speculation in the British media had claimed Villa's top scorer was ready to play his part in pushing for a transfer out of the club this summer - with Liverpool hopeful of taking advantage.
However, sources in Belgium suggest this won't happen and that Benteke will wait to see if any clubs meet Aston Villa's asking price - believed to be about £30million.
The ex-Racing Genk striker has been rejuvenated under Tim Sherwood's leadership, scoring 11 goals since the manager's appointment - more than any other Premier League player.
Sherwood had since admitted he cannot force Benteke to stay at Villa Park, but German giants Wolfsburg have now cooled their reported interest.
Wolfsburg manager Klaus Allofs has praised Benteke's talents but admitted any deal is unlikely with Villa demanding such a fee, reportedly telling Bild: "He is a good player. [But] we must not confuse our team structure... we already have good strikers."