The phrase "already keen" is correct and usable in written English.
It can be used to describe someone who is enthusiastic or eager about something that has been previously discussed or introduced.
Example: "She was already keen on the idea of starting a new project before the meeting even began."
Alternatives: "already eager" or "already enthusiastic".
This month Investec, a bank already keen on rugby and cricket, agreed to support the (English) Derby until 2013.
It is demand driven, meaning that only countries already keen on its way of working will come looking, filtering out those with whom tensions might arise.
"The media are calling me already keen to get the first pictures of @Nigel_Farage arriving at Southampton," tweeted Rob Burberry, Ukip's local campaign manager, hours before the count opened, adding: "#patience #patience".
With many users already keen to access Twitter on their mobile phones, is seen as the next logical step to facilitate a growing user base in countries where mobile internet access is either not ubiquitous or is relatively expensive to access.
But Italian architect Renzo Piano is already keen to convince locals the London Bridge skyscraper is not just another monolithic office tower.
Yet an email written by coach Springstein to a Dutch doctor suggested some in the sports world were already keen.
The Arab air forces flying alongside are already keener on hitting targets in Syria than Iraq.Even if such conflicting interests could be reconciled, it is far from certain that Messrs Rohani and Zarif are in a position to bring about any of the things they hint at.
The most eager are those with bases in Britain, where investors are already (relatively) keen on equities.
Some fertility clinics, including the private Lister Hospital in London, are already responding to keen interest in complementary therapies by recommending that patients visit alternative practitioners.
It is an idea that appeals to Jupitus, already a keen podcaster.
Whether you're already a keen player looking to switch rackets or Wimbledon has inspired you to start playing, the right racket makes all the difference.
