Serie A Empoli have started the season in exceptional form, but the management acknowledges that the team lacks the necessary quality and depth in certain areas.
Empoli are now in advanced talks to sign Anjorin outright.
BBC Sport says the deal will be for a nominal fee, though include a hefty sell-on clause for Chelsea.
Anjorin, 22, is expected in Italy today for a medical ahead of penning his Empoli contract.