The induction coil unit for heating a sleeve section of a tool holder holding the shaft of a rotation tool in a receiver opening in press fit comprises two coil units, whose distance can be changed selectively through at least one slanted surface cam assembly. A magnetic flux concentrator assembly with several concentrator elements distributed in circumferential direction is associated with the coil unit adjacent to the free end of the sleeve section. The width of a pass through opening defined by the concentrator elements for the tool shaft is also changeable through a control cam, to which the concentrator elements are coupled through a slanted surface cam assembly. The two slanted surface cam assemblies are coupled amongst each other in a useful manner in order to simplify the operation of the unit.