Reports this morning had suggested that the Roma star had flown in to London to complete his medical ahead of a proposed £34 million transfer.
And, those rumours look like they will be confirmed soon as a leaked picture has emerged on Twitter seemingly showing the 24-year-old signing his contract to complete his move.
The defender only joined Roma on a permanent basis for €9 million from Stuttgart after a successful season on loan with the Serie A club.
Rudiger is a full German international, and was recently included in the squad for the Confederations Cup in Russia.
The 24-year-old will become the second signing of the summer for the Blues following the free transfer of Willy Caballero at the start of the month.