As per remarks from UK PM May’s Spokesman:

• Theresa May has spoken to several European leaders over the holiday break. The process of getting assurances from EU is ongoing, and as seen from public comments, leaders are prepared to carry on having conversations
• The precise timing of a vote on May’s Brexit deal depends on the Parliament, but it will happen in the week of January 14.
• PM is working on getting assurances the Parliament says it needs on Brexit deal.
• Will look at lawmakers’ amendments in the usual way but it is important that government is able to deliver Brexit including no deal.
• Can expect PM to meet colleagues through the week.