The 20-year-old, who hit four goals for MK Dons during a loan spell earlier on this season, scored a late equaliser for the Rams in yesterday's 1-1 draw with Blackburn Rovers.
That took his tally to two goals in three games since moving to Pride Park on a short-term deal at the start of the month.
"His temperament is fantastic, it's as if he's been here for years," PA quotes the former England coach as saying.
"I think he's shown in the two games the qualities he's got. He's a natural goalscorer. We've got a real asset on our hands.
"He's got a long way to go and a lot to learn but he's a sensible and very intelligent boy and he's making the right steps. We've got three games this week and he'll definitely start one."
Bamford moved to Stamford Bridge from Nottingham Forest in 2012.