The academy star has been told he can leave on loan for the 2025/26 season.
And Football London reports that Russell Martin's men are one of many interested clubs.
It's reported that the Ibrox side are joined by Sunderland, Middlesbrough and Stoke City in pushing to land the defender, aged 19.
The Stamford Bridge side rate Samuels-Smith highly, but are keen for the teenager to gain more exposure to first-team football before they make a decision on his long-term future.
He is contracted to the club until 2031, though, so that is an indication of how highly Chelsea rate him.
The report states that club-to-club talks have occurred between Chelsea and the four aforementioned sides across the UK.