Van Ginkel, who made his senior international debut for the Netherlands last year, will reportedly cost the Europa League champions £8 million ($12.2 million, 9.4 million euros).
"Chelsea Football Club and Vitesse Arnhem have reached an agreement for the transfer of Marco van Ginkel," read a statement on the Chelsea website.
"The player will join Chelsea subject to a medical, agreement of personal terms and legal documentation."
Van Ginkel graduated from the Vitesse youth system and made his debut first-team appearance in 2010.
He was a key figure last season as the modest club from the eastern Dutch city of Arnhem secured an unexpected fourth-place finish in the Eredivisie.
He is in line to become Chelsea coach Jose Mourinho's second close-season signing after German forward Andre Schurrle arrived from Bayer Leverkusen.
Chelsea agree to sign Dutch midfielder Marco Van Ginkel
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