The Blues are still deciding whether to make a fresh attempt to bring the France international to Stamford Bridge in January after missing out on the forward earlier this year.
Last week, Bayern Munich claimed Chelsea had offered £58.5m and full-back Jose Bosingwa for Ribery in the summer, while Real Madrid also failed to prize him away from Germany.
Target: Chelsea want Ribery - but are unwilling to pay over the odds
However, it is understood the Blues only made a bid of around £40m for the 26-year-old and are unlikely to go much higher than that figure if they decide to renew their interest in the next transfer window.
Ribery's first choice has always been a move to the Bernabeu and with the Spanish giants prepared to pay much more for the player, Spain remains the Frenchman's likely destination.
But any move is likely to happen at the end of the season.
Galactico in waiting? Ribery is likely to end up at Real Madrid
Chelsea boss Carlo Ancelotti is likely to concentrate his efforts on signing Atletico Madrid striker Sergio Aguero.
The Italian is hot in pursuit of the 21-year-old striker - and a fee of between £40m and £50m should be enough for the Spanish club to part with their prized asset.
However, similar to the Blues' chase for Ribery, the Chelsea boss last week warned Atletico they would not pay over the odds.
He said: 'We will not be taken by the throat. We are not desperate to take new players.
Top target: Sergio Aguero is wanted by Chelsea
'Aguero is a young player I like and I have said at other times that big teams in Europe control the market for young players.
'Chelsea look at these players, but not only Aguero. Young players are the future for Chelsea, Manchester United, every team in Europe.'
Bayern Munich reveal Chelsea offered £58m AND full-back Jose Bosingwa for Franck RiberyRibery could leave, says Munich chief HoenessManchester United and Chelsea set to miss out as German giants Bayern secure cash to keep Franck RiberyCHELSEA FC