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You can apply for an EEA family permit up to six months before your planned travel. From the UK's eligibility page:
The EEA citizen youβre joining must either:
- be in the UK already
- be travelling with you to the UK within 6 months of the date of your application
(This statement of the requirement isn't quite correct, though, because it is also acceptable for the EEA citizen you're joining to be outside the UK when you apply, but traveling to the UK before you do.)