The London Evening Standard says manager Carlo Ancelotti is a confirmed admirer and handed McEachran, who joined the club as an eight-year-old, a squad number last January (51) and invited him to travel with the first team for last season's Carling Cup tie at Blackburn.
He has continued progressing during pre-season and has been involved in all three Chelsea games so far as they build towards the new campaign and their defence of the Premier League title.
McEachran started alongside established first-team players Michael Essien and Jon Obi Mikel against Crystal Palace last month and again against Dutch giants Ajax in Amsterdam. He also replaced Florent Malouda after 58 minutes against Eintracht Frankfurt on Sunday.
There is genuine belief at Stamford Bridge that the talented teenager can make the next step and become a regular first-team squad member.