''These are the same key staff who keep services running when demand is at a peak and manage the problems when the lines are hit by breakdowns and failures.
"They deserve respect for the job that they do and not the imposition of inferior working conditions and the threat to jobs.''
But London Underground said the action was unnecessary as officials had already addressed most of the unions concerns.
''We have been in discussion with the unions across the entire Tube network, including the subsurface lines, since 2007 on the impact of changes arising from our upgrading of signalling systems," said Nigel Holness, London Underground's operations director.
''We have already addressed nearly all of the issues raised by the RMT, and I would urge the RMT leadership to continue working with us to help staff prepare for these changes, which will be implemented in five years' time.''
The news comes after staff running the capital's bicycle hire network also threatened to strike during the Olympics over bonus payment.
That 'Boris Bike' strike threat came after 21,000 bus workers in the Unite union are being balloted for strike action that could take place during the games.
Bus operators and TfL are not willing to fund bonus payments for drivers.
