According to Dutch newspaper De Telegraaf, the Blues have verbally agreed a €45millon (£38m) deal in principle to sign the playmaker in the summer.
After a quiet January transfer window in which Frank Lampard was desperate to sign attacking reinforcements, the Blues had targeted the Moroccan international as a priority summer signing.
Manchester United and Arsenal were also reportedly interested, but the report claims negotiations are only taking place with Chelsea and Ajax would prefer to sell to the west London club. With a deal appearing to be close, Chelsea striker Tammy Abraham has taken to social media to deliver his verdict on the deal.
On Instagram, the account @433 posted a picture of Ziyech with the caption: ‘Ajax and Chelsea have reached an agreement for the transfer of @hziyech this summer.’
Last season, Ziyech’s performances on the European stage were matched by his domestic achievements as he helped Ajax win the Eredivisie title and the KNVB cup.
And Abraham seemingly gave his approval to the deal, by liking the picture.