Jeff Carlisle of ESPN FC said the Blues will shortly complete the capture of Miazga from the Red Bulls after tracking the player since November.
The player has less than a year on his current MLS contract and is said to want to test himself abroad, per Carlisle.
Here is a highlight reel of the 20-year-old in action:
Miazga made his senior international debut for the United States last November and is one of his nation's most promising defensive talents.
Carlisle claimed sources have informed ESPN FC a deal will be completed between Chelsea and the Red Bulls by Thursday.
However, the MailOnline's Sami Mokbel said the transfer will be formal by the end of the week, with a £3.5 million price tag attached to the prodigy. The defender does not need a work permit to complete the move as he holds a Polish passport.
Mokbel added that U.S. men's national team manager Jurgen Klinsmann has given his blessing to the player moving to England, as long as he is given sufficient chance to shine in the first team at Stamford Bridge.
Miazga made his breakthrough in MLS in 2013 as a teenager, slowly establishing himself the following season. Miazga made 30 appearances in the league last term, according to WhoScored.com, proving himself as a major talent.
Guardian US writer Richard Whittall believes the defender might be immediately loaned out:
However, ESPN FC's Austin Lindberg said the Daily Mail reports Miazga will be staying at the Bridge until the summer:
Chelsea do not have the best record of promoting young talent to the starting XI, but Miazga will be viewed as a long-term development option.
The player is certainly not a quick fix to the Blues' recent defensive woes, but he could develop under the guidance of John Terry while the former England captain is at the club.
Miazga is unknown to most English football fans who do not follow MLS, but the defender has untapped potential and could turn out to be a steal for the champions.