Rail, Maritime and Transport (RMT) staff based in the control room will take the industrial action for 24 hours from 21:00 GMT, the union says.
The RMT added members had rejected Transport for London’s (TfL) pay offer and it was seeking improvements to holiday entitlement and a reduction in working hours.
TfL said if the strike goes ahead, Elizabeth line services would still be available, but they may be busier than normal.