From Monday, the High Speed Response Team (UfM), part of the NRF, must be ready for deployment in a crisis area within five days, instead of seven as before.
Other NRF structures, including special task forces and logistics forces, are also on high alert.
A decision was made last week by the North Atlantic Council, Die Welt reports.
NATO leaders decided to set up the VJTF at a summit in Wales in 2014 in response to the changing security situation following Russia’s occupation and annexation of Ukraine’s Crimea.
It is made up of 6,400 troops from the United States, Britain, Poland, Spain, Italy and other NATO countries.
The United States and Western countries believe that Russia could prepare for an attack on Ukraine and has therefore concentrated about 100,000 troops on the Ukrainian border.
Russia denies allegations of a possible invasion of Ukraine by its troops. According to Russian President Vladimir Putin, Moscow is taking a defensive stance because of fears that Kiev is getting too close to NATO.
At a video summit on December 7, US President Joe Biden warned Putin that the United States would impose unprecedented sanctions on Russia if it attacked Ukraine.