The Brazil international had been linked with a move to Liverpool and Tottenham during the transfer window, only for Chelsea to apparently sneak in under the radar to secure the attacking midfielder's signature.
However, Willian has explained that a move to Stamford Bridge was always the most likely outcome once Anzhi Makhachkala decided to cut costs.
"They [Chelsea] made an offer two months ago but I was not allowed to leave," the playmaker told Brazilian television station Sportv.
"I kept following the club and I used to go to London to follow Chelsea whenever I had free time and now my dream has come true.
"Other clubs were interested, but my intention and dream of playing for Chelsea made the difference."
Willian made just 15 appearances for Anzhi before agreeing his move to Chelsea on August 25.