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But he may say "Я хочу изучать язык, пока не заговорю свободно". :) [/quote]
But it's future anyway.

No, it would be perfectly allright[/quote]

I'm afraid Ramil misunderstood your question, Matroskin. You can't say

Я хочу изучать язык, пока я не говорю свободно.

You need a future tense in...