I don't think there's anything special about lane swimming that requires a more modest swimsuit (unless the bikini is one prone to slippage). If there will be other bikinis at the pool, just not in the lane, I don't see any problem.
However, if there's another reason (no one else wears bikinis at the pool or time in question, perhaps because it's a time when more older people are there...) that a bikini wouldn't be appropriatate for the pool, you might consider a t-shirt coverup.
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