Despite being committed to the Championship club until at least January, Bamford is already hoping that his form under Aitor Karanka will impress Mourinho as he looks to make an impact at Stamford Bridge in the future.
"Success at Boro is the priority because doing well here is the key to me taking the next step," the 21-year-old told the Teesside Gazette. "I have to be honest and say at the end of the day I want to be a Chelsea first team player, but to do that I know I need to make a success of my time at Boro. I need to get games, play well and score goals.
"I need the experience but I'm not here to go through the motions. I have to play well. I have to get into the team here, stay there and score.
"The best thing for me is to be a regular part of a team up there challenging for promotion. If I can do that here then I know that really improves my chances there."
Bamford could make his Middlesbrough debut against Huddersfield Town on Saturday afternoon.