I have just upgraded my tyres to 28mm so do I need to buy new inner tubes, mine state 18 to 23mm. The reason I ask is that I have fitted the tyres and tubes and inflated to 90 psi and they did'nt pop.
You should upgrade the tubes as they'll be a bit too small. However personally I'd just buy new tube that fit and use the old ones as spares. Rarely found a major problem, it's just a few mms.
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