Musonda is highly rated at Stamford Bridge, but he is yet to make his senior debut for the Blues.
As a result, Hasselbaink is confident of persuading the attacking midfielder to join him at Loftus Road.
The Dutch boss is so keen on signing Musonda that he was in attendance at the Chelsea Under-21 match against Middlesbrough on Monday, according to The Mirror.
The Rs are set to be active in the Januart transfer window, as they look to strengthen their promotion bid.
As things stand, QPR are five points away from the playoff places, but they are unbeaten in their last five matches in the Championship.
Musonda has made eight appearances for the Chelsea Under-21 side so far this season, scoring once and setting up three goals in the process.