The government is expected to win support for keeping hold of powers until October.
Education secretary said teachers were among public sector workers set to face "pay restraint".
The transport secretary said the number of people coming from the 33 "red list" countries was "less than 1,000 people a day".
The government issued guidance on New Year's Eve saying it was "reasonable" for two different vaccines to be given to the same patient if one type was unavailable.
SAGE has recommended all secondary schools remain closed in January.
Ministers and scientists have previously said they think the vaccine would become effective by spring.
Labour MP Siobhain McDonagh wasn't having any of it.
Beth Rigby and Inzamam Rashid will also remain off air for three months.
The Sky News broadcaster admitted breaking safety rules after celebrating her 60th birthday in London.