The food retailer, which posted a pre-tax profit of £162 million in the last financial year, was forced into the move as the new 12-sided coin became legal tender.
The grocer, which dominates the UK market with a 28.1 percent share of the food market, is currently upgrading its trolleys in order for them to accommodate the new coin.
A Tesco spokesman said last week "fewer than 200" of its stores will be affected.
Tesco has had to unlock its trolleys due to the new £1 coin (stock image)
He said: "We are currently updating our trolleys with locks so that they can accept the new pound coin. There will be no disruption to customers while we do this."
The old round £1 coin will still be legal tender and still be in circulation for the next six months until it ceases to be legal tender on October 15.
The new coins have been made at the Royal Mint in Llantrisant, South Wales, at a rate of three million per day.
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Luke Shaw makes his way out of a Tesco store
They have a gold-coloured outer ring and a silver-coloured inner ring and are based on the design of the old 12-sided threepenny bit, which went out of circulation in 1971.
The new coin is both lighter and thinner than the old coin.
It might take a few days or weeks for people to start seeing the new £1 coins turn up in their change as they gradually filter into general use.
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The switch to the new 5p and 10p coins a few years ago cost the coin-operated industry about £80m, according to Treasury figures.
The supermarket is currently under pressure after it was fined £129m from the Serious Fraud Office (SFO) over false accounting although it seems unlikely that the firm will be prosecuted.
The supermarket’s subsidiary – Tesco Stores – has reached a Deferred Prosecution Agreement with the SFO following a two-year investigation into false accounting at the firm.
Tesco's trolleys have been unlocked due to the new one pound coin (stock image)
The Financial Conduct Authority said it had forced the supermarket to compensate investors who had bought shares and bonds on – or after – August 29 and had held the securities when the statement was later corrected on September, 22 2014.
Tesco chief executive Dave Lewis said: "Over the last two-and-a-half years, we have fully co-operated with this investigation into historic accounting practices, while at the same time fundamentally transforming our business.
"We sincerely regret the issues which occurred in 2014 and we are committed to doing everything we can to continue to restore trust in our business and brand."
A Tesco shopper makes a purchase (stock image)
Tesco is also facing a rebellion from two of its largest shareholders who have come out against its bid to buy wholesaler Booker for £3.7 billion.
When contacted by Express.co.uk Sainsbury’s, Waitress, Morrisons, Co-op and Aldi all reported that their trolleys were able to accept the new coin.
At the time of publication Express.co.uk was waiting to receive a response from both Marks and Spencer and Asda.