The newspaper reported that British Defense Secretary Michael Fallon will announce the decision at a meeting of NATO defense ministers in Brussels later on Thursday.
The length of the UK troop deployment has yet to be defined, but it will be implemented on a rotational basis.
Britain is to send troops to certain Baltic states people really need to watch and wait over the next few months something big's happening— False prophet (@prophet70gt) 8 октября 2015
This is something that the Financial Times said will "allow the US, Britain and Germany to avoid accusations that they are breaching agreements struck with Moscow after the end of the cold war over permanent troop placements in former Eastern bloc nations."
An unnamed official told the newspaper that a single company or about 100 troops will be deployed in the Baltic region in the near future.
The size of such a limited contingent may be attributed to the fact that the previous UK Parliament called for reducing the number of British troops stationed abroad.
Another source familiar with the text of Fallon's speech said that the Defense Minister will also touch upon the issue of scaling up Britain's current training mission for the Ukrainian armed forces.
The UK's deployment will reportedly be part of the Transatlantic Capability Enhancement and Training Initiative, which was agreed upon by the US and Germany in June 2015.
The purpose is to expand training as well as command-and-control drills between the US, Germany and their Eastern European allies.