The 21-year-old midfielder spent last season on loan at Norwich City and is yet to play a minute of football for Chelsea in the ongoing campaign.
Graham Potter is a big fan of the Scotland international and wants to take him to Brighton on a permanent deal on deadline day.
Gilmour is rated highly at Chelsea but he is not likely to get many minutes under Tuchel if he stays on at the club.
And it has been claimed that ahead of making a transfer decision, the Chelsea boss will speak to the midfielder today.
A move to Brighton would have to be a permanent move as they have already signed Levi Colwill on loan from Chelsea this summer but there are other loan suitors for him.
Tuchel is likely to want to know what Gilmour wants before a takes a call on whether to sanction his sale.
Chelsea are yet to receive a firm offer from Brighton for the midfielder but are fully expecting to get a bid if they decide to sell him.
Gilmour wants to play more football and is open to working with Potter at the Amex Stadium.
