Cheap digital radios are fast selling out and suppliers are worried about meeting Christmas demand.
Pure, which makes the £99 Evoke radios, said that the situation could become "problematic".
Up until now, listeners who wanted to access digital stations have had either to buy hi-fi tuners for more than £300, or tune in via the internet or digital TV.
The manufacturer explained that it is shipping "a couple of thousand of the radios every couple of days and that, if things continue this way, it will have to increase numbers in time for Christmas".
Argos received 600 inquiries about the Evoke last week, and sold between 330 and 400 sets.
According to industry statistics, more than 85,000 digital radio sets have been sold so far in the UK.
An advertising campaign featuring Atomic Kitten is expected to help boost sales when it kicks in next month.
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