Six people were taken to hospital when an Elektra machine exploded at the Kingsmead Centre in Farnborough.
Sainsbury's turned off its 158 Elektra machines after the blast on Tuesday.
The chain said a design change in 2009 was probably behind a fault with the relief valve and it will reinstate its older models at 126 stores on Thursday.
Elektra said the problem had not been encountered before, despite thousands of the machines being made.
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