Nathan Oduwa and Dominic Ball have already been signed on season-long loans from Tottenham Hotspur, and the Chelsea prospect could be the next in line - with a deal expected to be completed this week.
The England Under-20 international could arrive in time to face Hibs on Sunday.
Who is John Swift?
Swift, 20, is a midfielder who has played his entire career with the Blues. The Portsmouth-born youngster is a midfielder, able to play in the centre or on the right-wing, and he has already made an appearance for the Chelsea first-team.
He spent last term on loan with League One side Swindon Town, helping them reach the play-offs with two goals and three assists in 19 games.
So far this campaign he has been turing out for the Blues’ Under-21 side, but another loan spell with consistent competitive football would be the best step for his development.