Scores of RMT union members will vote in the coming weeks on whether to launch a campaign of action.
The drivers' union Aslef said putting on hold new trains for the Northern and Jubilee lines made the outright cancellation more likely.
Uber saw its UK profits surge 65% last year .
A strike by London Underground drivers on Thursday has been called off after progress was made during talks, said Aslef.
No services will run on most of London Underground if a 24-hour strike by drivers goes ahead on Thursday.
Members of the RMT union at Southern and Greater Anglia walked out for 24 hours, with another stoppage due on Thursday.
The meeting comes just a day after Uber's UK head quit her post.
Chiltern Railways will not be stopping any trains at Wembley Stadium on Thursday because of the impact of a Tube strike.
Here's how journeys could be affected on Southern, Greater Anglia and London Underground.
South Western Railway services to London Waterloo were already disrupted because of a points failure in the morning rush-hour.