The 19-year-old is on a season-long loan with the Teesiders and wants to stay until May, despite there being a clause in the deal which gives the Blues an option to recall him
And McEachran hopes new Blues manager Rafa Benitez sees the benefit he is getting from playing regular first team football at the Riverside.
Despite wanting to remain in the Championship for now, the teenager's dream has always been to play for Chelsea, ever since he moved to the club 12 years ago.
“I’ve been at Chelsea since the age of seven and I’ve grown up there. It’s always been my dream to play regular first team football there," McEachran told the Daily Mirror.
“But at present, I’d like to stay here for the rest of the season. We’ve got a genuine chance of going up and I want to be part of it.
|BORO SHAKE OFF THE BLUES
|12/1||Middlesbrough are 12/1 with Bet365 to beat Birmingham 2-0|
The midfielder has been one of the Boro's key players this season, but is yet to open his scoring account.
“Sooner or later I will get one," he insisted. "I came here to play games and that’s exactly what I’m doing. The standard of the Championship has impressed me and I’m getting a lot out of it.
"We’re playing two games a week and it’s really intensive, but it’s improving me as a player.”
Middlesbrough currently lie in third place in the Championship, and will look to further their aim of returning to the top flight when they travel to St Andrews to face Birmingham City on Friday night.